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Finding the Fourth Proportional to 2,298.47, 3,445.67 and 912.78

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Solution

The fourth proportional to 2,298.47, 3,445.67 and 912.78 is: 1,368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.47 : 3,445.67 = 912.78 : x
  2. Step 2: Convert to fraction form
    2,298.47/3,445.67 = 912.78/x
  3. Step 3: Cross multiply
    2,298.47x = 3,445.67 × 912.78
  4. Step 4: Simplify right side
    2,298.47x = 3,145,134.10
  5. Step 5: Solve for x
    x = 3,145,134.10/2,298.47
  6. Step 6: Final answer
    x = 1,368.36

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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.