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Finding the Fourth Proportional to 1,532.40, 2,298.18 and 666.52

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Solution

The fourth proportional to 1,532.40, 2,298.18 and 666.52 is: 999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.40 : 2,298.18 = 666.52 : x
  2. Step 2: Convert to fraction form
    1,532.40/2,298.18 = 666.52/x
  3. Step 3: Cross multiply
    1,532.40x = 2,298.18 × 666.52
  4. Step 4: Simplify right side
    1,532.40x = 1,531,782.93
  5. Step 5: Solve for x
    x = 1,531,782.93/1,532.40
  6. Step 6: Final answer
    x = 999.60

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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.