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Finding the Fourth Proportional to 1,870.47, 2,581.08 and 1,031.04

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Solution

The fourth proportional to 1,870.47, 2,581.08 and 1,031.04 is: 1,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.47 : 2,581.08 = 1,031.04 : x
  2. Step 2: Convert to fraction form
    1,870.47/2,581.08 = 1,031.04/x
  3. Step 3: Cross multiply
    1,870.47x = 2,581.08 × 1,031.04
  4. Step 4: Simplify right side
    1,870.47x = 2,661,196.72
  5. Step 5: Solve for x
    x = 2,661,196.72/1,870.47
  6. Step 6: Final answer
    x = 1,422.74

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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.