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Finding the Fourth Proportional to 2,748.55, 4,120.52 and 898.66

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Solution

The fourth proportional to 2,748.55, 4,120.52 and 898.66 is: 1,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.55 : 4,120.52 = 898.66 : x
  2. Step 2: Convert to fraction form
    2,748.55/4,120.52 = 898.66/x
  3. Step 3: Cross multiply
    2,748.55x = 4,120.52 × 898.66
  4. Step 4: Simplify right side
    2,748.55x = 3,702,931.71
  5. Step 5: Solve for x
    x = 3,702,931.71/2,748.55
  6. Step 6: Final answer
    x = 1,347.23

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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.