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Finding the Fourth Proportional to 1,603.44, 2,403.36 and 953.28

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Solution

The fourth proportional to 1,603.44, 2,403.36 and 953.28 is: 1,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.44 : 2,403.36 = 953.28 : x
  2. Step 2: Convert to fraction form
    1,603.44/2,403.36 = 953.28/x
  3. Step 3: Cross multiply
    1,603.44x = 2,403.36 × 953.28
  4. Step 4: Simplify right side
    1,603.44x = 2,291,075.02
  5. Step 5: Solve for x
    x = 2,291,075.02/1,603.44
  6. Step 6: Final answer
    x = 1,428.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.