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Finding the Fourth Proportional to 1,854.24, 2,555.04 and 1,521.60

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Solution

The fourth proportional to 1,854.24, 2,555.04 and 1,521.60 is: 2,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.24 : 2,555.04 = 1,521.60 : x
  2. Step 2: Convert to fraction form
    1,854.24/2,555.04 = 1,521.60/x
  3. Step 3: Cross multiply
    1,854.24x = 2,555.04 × 1,521.60
  4. Step 4: Simplify right side
    1,854.24x = 3,887,748.86
  5. Step 5: Solve for x
    x = 3,887,748.86/1,854.24
  6. Step 6: Final answer
    x = 2,096.68

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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.