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Finding the Fourth Proportional to 2,154.16, 2,973.87 and 1,449.71

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Solution

The fourth proportional to 2,154.16, 2,973.87 and 1,449.71 is: 2,001.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.16 : 2,973.87 = 1,449.71 : x
  2. Step 2: Convert to fraction form
    2,154.16/2,973.87 = 1,449.71/x
  3. Step 3: Cross multiply
    2,154.16x = 2,973.87 × 1,449.71
  4. Step 4: Simplify right side
    2,154.16x = 4,311,226.96
  5. Step 5: Solve for x
    x = 4,311,226.96/2,154.16
  6. Step 6: Final answer
    x = 2,001.35

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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.