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Finding the Fourth Proportional to 1,532.17, 2,283.03 and 1,457.78

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Solution

The fourth proportional to 1,532.17, 2,283.03 and 1,457.78 is: 2,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.17 : 2,283.03 = 1,457.78 : x
  2. Step 2: Convert to fraction form
    1,532.17/2,283.03 = 1,457.78/x
  3. Step 3: Cross multiply
    1,532.17x = 2,283.03 × 1,457.78
  4. Step 4: Simplify right side
    1,532.17x = 3,328,166.65
  5. Step 5: Solve for x
    x = 3,328,166.65/1,532.17
  6. Step 6: Final answer
    x = 2,172.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.