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Finding the Fourth Proportional to 3,001.60, 4,141.05 and 1,880.58

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Solution

The fourth proportional to 3,001.60, 4,141.05 and 1,880.58 is: 2,594.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.60 : 4,141.05 = 1,880.58 : x
  2. Step 2: Convert to fraction form
    3,001.60/4,141.05 = 1,880.58/x
  3. Step 3: Cross multiply
    3,001.60x = 4,141.05 × 1,880.58
  4. Step 4: Simplify right side
    3,001.60x = 7,787,575.81
  5. Step 5: Solve for x
    x = 7,787,575.81/3,001.60
  6. Step 6: Final answer
    x = 2,594.47

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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.