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Finding the Fourth Proportional to 1,532.64, 2,114.50 and 1,178.66

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Solution

The fourth proportional to 1,532.64, 2,114.50 and 1,178.66 is: 1,626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.64 : 2,114.50 = 1,178.66 : x
  2. Step 2: Convert to fraction form
    1,532.64/2,114.50 = 1,178.66/x
  3. Step 3: Cross multiply
    1,532.64x = 2,114.50 × 1,178.66
  4. Step 4: Simplify right side
    1,532.64x = 2,492,276.57
  5. Step 5: Solve for x
    x = 2,492,276.57/1,532.64
  6. Step 6: Final answer
    x = 1,626.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.