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Finding the Fourth Proportional to 1,931.12, 2,897.88 and 891.27

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Solution

The fourth proportional to 1,931.12, 2,897.88 and 891.27 is: 1,337.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.12 : 2,897.88 = 891.27 : x
  2. Step 2: Convert to fraction form
    1,931.12/2,897.88 = 891.27/x
  3. Step 3: Cross multiply
    1,931.12x = 2,897.88 × 891.27
  4. Step 4: Simplify right side
    1,931.12x = 2,582,790.17
  5. Step 5: Solve for x
    x = 2,582,790.17/1,931.12
  6. Step 6: Final answer
    x = 1,337.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.