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Finding the Fourth Proportional to 2,159.64, 2,981.28 and 1,464.60

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Solution

The fourth proportional to 2,159.64, 2,981.28 and 1,464.60 is: 2,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.64 : 2,981.28 = 1,464.60 : x
  2. Step 2: Convert to fraction form
    2,159.64/2,981.28 = 1,464.60/x
  3. Step 3: Cross multiply
    2,159.64x = 2,981.28 × 1,464.60
  4. Step 4: Simplify right side
    2,159.64x = 4,366,382.69
  5. Step 5: Solve for x
    x = 4,366,382.69/2,159.64
  6. Step 6: Final answer
    x = 2,021.81

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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.