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Finding the Fourth Proportional to 1,875.85, 2,587.10 and 1,344.84

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Solution

The fourth proportional to 1,875.85, 2,587.10 and 1,344.84 is: 1,854.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.85 : 2,587.10 = 1,344.84 : x
  2. Step 2: Convert to fraction form
    1,875.85/2,587.10 = 1,344.84/x
  3. Step 3: Cross multiply
    1,875.85x = 2,587.10 × 1,344.84
  4. Step 4: Simplify right side
    1,875.85x = 3,479,235.56
  5. Step 5: Solve for x
    x = 3,479,235.56/1,875.85
  6. Step 6: Final answer
    x = 1,854.75

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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.