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Finding the Fourth Proportional to 2,898.60, 4,347.90 and 2,785.20

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Solution

The fourth proportional to 2,898.60, 4,347.90 and 2,785.20 is: 4,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.60 : 4,347.90 = 2,785.20 : x
  2. Step 2: Convert to fraction form
    2,898.60/4,347.90 = 2,785.20/x
  3. Step 3: Cross multiply
    2,898.60x = 4,347.90 × 2,785.20
  4. Step 4: Simplify right side
    2,898.60x = 12,109,771.08
  5. Step 5: Solve for x
    x = 12,109,771.08/2,898.60
  6. Step 6: Final answer
    x = 4,177.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.