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Finding the Fourth Proportional to 2,159.89, 2,981.89 and 1,452.76

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Solution

The fourth proportional to 2,159.89, 2,981.89 and 1,452.76 is: 2,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.89 : 2,981.89 = 1,452.76 : x
  2. Step 2: Convert to fraction form
    2,159.89/2,981.89 = 1,452.76/x
  3. Step 3: Cross multiply
    2,159.89x = 2,981.89 × 1,452.76
  4. Step 4: Simplify right side
    2,159.89x = 4,331,970.52
  5. Step 5: Solve for x
    x = 4,331,970.52/2,159.89
  6. Step 6: Final answer
    x = 2,005.64

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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.