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Finding the Fourth Proportional to 1,875.28, 2,587.90 and 1,035.96

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Solution

The fourth proportional to 1,875.28, 2,587.90 and 1,035.96 is: 1,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.28 : 2,587.90 = 1,035.96 : x
  2. Step 2: Convert to fraction form
    1,875.28/2,587.90 = 1,035.96/x
  3. Step 3: Cross multiply
    1,875.28x = 2,587.90 × 1,035.96
  4. Step 4: Simplify right side
    1,875.28x = 2,680,960.88
  5. Step 5: Solve for x
    x = 2,680,960.88/1,875.28
  6. Step 6: Final answer
    x = 1,429.63

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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.