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Finding the Fourth Proportional to 2,153.78, 2,972.10 and 1,269.62

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Solution

The fourth proportional to 2,153.78, 2,972.10 and 1,269.62 is: 1,752.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.78 : 2,972.10 = 1,269.62 : x
  2. Step 2: Convert to fraction form
    2,153.78/2,972.10 = 1,269.62/x
  3. Step 3: Cross multiply
    2,153.78x = 2,972.10 × 1,269.62
  4. Step 4: Simplify right side
    2,153.78x = 3,773,437.60
  5. Step 5: Solve for x
    x = 3,773,437.60/2,153.78
  6. Step 6: Final answer
    x = 1,752.01

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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.