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Finding the Fourth Proportional to 3,603.80, 4,973.10 and 2,032.22

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Solution

The fourth proportional to 3,603.80, 4,973.10 and 2,032.22 is: 2,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.80 : 4,973.10 = 2,032.22 : x
  2. Step 2: Convert to fraction form
    3,603.80/4,973.10 = 2,032.22/x
  3. Step 3: Cross multiply
    3,603.80x = 4,973.10 × 2,032.22
  4. Step 4: Simplify right side
    3,603.80x = 10,106,433.28
  5. Step 5: Solve for x
    x = 10,106,433.28/3,603.80
  6. Step 6: Final answer
    x = 2,804.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.