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Finding the Fourth Proportional to 1,710.04, 2,564.82 and 614.24

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Solution

The fourth proportional to 1,710.04, 2,564.82 and 614.24 is: 921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.04 : 2,564.82 = 614.24 : x
  2. Step 2: Convert to fraction form
    1,710.04/2,564.82 = 614.24/x
  3. Step 3: Cross multiply
    1,710.04x = 2,564.82 × 614.24
  4. Step 4: Simplify right side
    1,710.04x = 1,575,415.04
  5. Step 5: Solve for x
    x = 1,575,415.04/1,710.04
  6. Step 6: Final answer
    x = 921.27

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