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Finding the Fourth Proportional to 1,870.46, 2,581.22 and 1,031.17

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Solution

The fourth proportional to 1,870.46, 2,581.22 and 1,031.17 is: 1,423.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.46 : 2,581.22 = 1,031.17 : x
  2. Step 2: Convert to fraction form
    1,870.46/2,581.22 = 1,031.17/x
  3. Step 3: Cross multiply
    1,870.46x = 2,581.22 × 1,031.17
  4. Step 4: Simplify right side
    1,870.46x = 2,661,672.75
  5. Step 5: Solve for x
    x = 2,661,672.75/1,870.46
  6. Step 6: Final answer
    x = 1,423.00

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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.