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Finding the Fourth Proportional to 2,159.60, 3,235.14 and 2,007.72

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Solution

The fourth proportional to 2,159.60, 3,235.14 and 2,007.72 is: 3,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.60 : 3,235.14 = 2,007.72 : x
  2. Step 2: Convert to fraction form
    2,159.60/3,235.14 = 2,007.72/x
  3. Step 3: Cross multiply
    2,159.60x = 3,235.14 × 2,007.72
  4. Step 4: Simplify right side
    2,159.60x = 6,495,255.28
  5. Step 5: Solve for x
    x = 6,495,255.28/2,159.60
  6. Step 6: Final answer
    x = 3,007.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.