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Finding the Fourth Proportional to 1,870.34, 2,581.11 and 1,031.06

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Solution

The fourth proportional to 1,870.34, 2,581.11 and 1,031.06 is: 1,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.34 : 2,581.11 = 1,031.06 : x
  2. Step 2: Convert to fraction form
    1,870.34/2,581.11 = 1,031.06/x
  3. Step 3: Cross multiply
    1,870.34x = 2,581.11 × 1,031.06
  4. Step 4: Simplify right side
    1,870.34x = 2,661,285.73
  5. Step 5: Solve for x
    x = 2,661,285.73/1,870.34
  6. Step 6: Final answer
    x = 1,422.89

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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.