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Finding the Fourth Proportional to 1,870.90, 2,581.99 and 1,031.68

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Solution

The fourth proportional to 1,870.90, 2,581.99 and 1,031.68 is: 1,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.90 : 2,581.99 = 1,031.68 : x
  2. Step 2: Convert to fraction form
    1,870.90/2,581.99 = 1,031.68/x
  3. Step 3: Cross multiply
    1,870.90x = 2,581.99 × 1,031.68
  4. Step 4: Simplify right side
    1,870.90x = 2,663,786.63
  5. Step 5: Solve for x
    x = 2,663,786.63/1,870.90
  6. Step 6: Final answer
    x = 1,423.80

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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.