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Finding the Fourth Proportional to 1,330.17, 1,988.43 and 1,053.15

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Solution

The fourth proportional to 1,330.17, 1,988.43 and 1,053.15 is: 1,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.17 : 1,988.43 = 1,053.15 : x
  2. Step 2: Convert to fraction form
    1,330.17/1,988.43 = 1,053.15/x
  3. Step 3: Cross multiply
    1,330.17x = 1,988.43 × 1,053.15
  4. Step 4: Simplify right side
    1,330.17x = 2,094,115.05
  5. Step 5: Solve for x
    x = 2,094,115.05/1,330.17
  6. Step 6: Final answer
    x = 1,574.32

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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.