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Finding the Fourth Proportional to 2,038.42, 2,813.16 and 1,907.20

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Solution

The fourth proportional to 2,038.42, 2,813.16 and 1,907.20 is: 2,632.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.42 : 2,813.16 = 1,907.20 : x
  2. Step 2: Convert to fraction form
    2,038.42/2,813.16 = 1,907.20/x
  3. Step 3: Cross multiply
    2,038.42x = 2,813.16 × 1,907.20
  4. Step 4: Simplify right side
    2,038.42x = 5,365,258.75
  5. Step 5: Solve for x
    x = 5,365,258.75/2,038.42
  6. Step 6: Final answer
    x = 2,632.07

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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.