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Finding the Fourth Proportional to 2,875.48, 4,306.74 and 2,013.64

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Solution

The fourth proportional to 2,875.48, 4,306.74 and 2,013.64 is: 3,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.48 : 4,306.74 = 2,013.64 : x
  2. Step 2: Convert to fraction form
    2,875.48/4,306.74 = 2,013.64/x
  3. Step 3: Cross multiply
    2,875.48x = 4,306.74 × 2,013.64
  4. Step 4: Simplify right side
    2,875.48x = 8,672,223.93
  5. Step 5: Solve for x
    x = 8,672,223.93/2,875.48
  6. Step 6: Final answer
    x = 3,015.92

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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.