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Finding the Fourth Proportional to 1,577.17, 2,366.04 and 652.22

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Solution

The fourth proportional to 1,577.17, 2,366.04 and 652.22 is: 978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.17 : 2,366.04 = 652.22 : x
  2. Step 2: Convert to fraction form
    1,577.17/2,366.04 = 652.22/x
  3. Step 3: Cross multiply
    1,577.17x = 2,366.04 × 652.22
  4. Step 4: Simplify right side
    1,577.17x = 1,543,187.48
  5. Step 5: Solve for x
    x = 1,543,187.48/1,577.17
  6. Step 6: Final answer
    x = 978.45

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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.