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Finding the Fourth Proportional to 1,532.27, 2,114.21 and 1,001.93

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Solution

The fourth proportional to 1,532.27, 2,114.21 and 1,001.93 is: 1,382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.27 : 2,114.21 = 1,001.93 : x
  2. Step 2: Convert to fraction form
    1,532.27/2,114.21 = 1,001.93/x
  3. Step 3: Cross multiply
    1,532.27x = 2,114.21 × 1,001.93
  4. Step 4: Simplify right side
    1,532.27x = 2,118,290.43
  5. Step 5: Solve for x
    x = 2,118,290.43/1,532.27
  6. Step 6: Final answer
    x = 1,382.45

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Why These Related Problems?

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