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Finding the Fourth Proportional to 2,348.57, 3,523.83 and 1,031.64

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Solution

The fourth proportional to 2,348.57, 3,523.83 and 1,031.64 is: 1,547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.57 : 3,523.83 = 1,031.64 : x
  2. Step 2: Convert to fraction form
    2,348.57/3,523.83 = 1,031.64/x
  3. Step 3: Cross multiply
    2,348.57x = 3,523.83 × 1,031.64
  4. Step 4: Simplify right side
    2,348.57x = 3,635,320.11
  5. Step 5: Solve for x
    x = 3,635,320.11/2,348.57
  6. Step 6: Final answer
    x = 1,547.89

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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.