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Finding the Fourth Proportional to 2,085.91, 2,875.49 and 1,587.68

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Solution

The fourth proportional to 2,085.91, 2,875.49 and 1,587.68 is: 2,188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.91 : 2,875.49 = 1,587.68 : x
  2. Step 2: Convert to fraction form
    2,085.91/2,875.49 = 1,587.68/x
  3. Step 3: Cross multiply
    2,085.91x = 2,875.49 × 1,587.68
  4. Step 4: Simplify right side
    2,085.91x = 4,565,346.43
  5. Step 5: Solve for x
    x = 4,565,346.43/2,085.91
  6. Step 6: Final answer
    x = 2,188.66

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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.