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Finding the Fourth Proportional to 2,931.99, 4,046.12 and 1,587.60

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Solution

The fourth proportional to 2,931.99, 4,046.12 and 1,587.60 is: 2,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.99 : 4,046.12 = 1,587.60 : x
  2. Step 2: Convert to fraction form
    2,931.99/4,046.12 = 1,587.60/x
  3. Step 3: Cross multiply
    2,931.99x = 4,046.12 × 1,587.60
  4. Step 4: Simplify right side
    2,931.99x = 6,423,608.91
  5. Step 5: Solve for x
    x = 6,423,608.91/2,931.99
  6. Step 6: Final answer
    x = 2,190.87

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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.