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Finding the Fourth Proportional to 1,773.47, 2,445.72 and 1,214.57

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Solution

The fourth proportional to 1,773.47, 2,445.72 and 1,214.57 is: 1,674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.47 : 2,445.72 = 1,214.57 : x
  2. Step 2: Convert to fraction form
    1,773.47/2,445.72 = 1,214.57/x
  3. Step 3: Cross multiply
    1,773.47x = 2,445.72 × 1,214.57
  4. Step 4: Simplify right side
    1,773.47x = 2,970,498.14
  5. Step 5: Solve for x
    x = 2,970,498.14/1,773.47
  6. Step 6: Final answer
    x = 1,674.96

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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.