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Finding the Fourth Proportional to 2,925.64, 4,388.52 and 845.80

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Solution

The fourth proportional to 2,925.64, 4,388.52 and 845.80 is: 1,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.64 : 4,388.52 = 845.80 : x
  2. Step 2: Convert to fraction form
    2,925.64/4,388.52 = 845.80/x
  3. Step 3: Cross multiply
    2,925.64x = 4,388.52 × 845.80
  4. Step 4: Simplify right side
    2,925.64x = 3,711,810.22
  5. Step 5: Solve for x
    x = 3,711,810.22/2,925.64
  6. Step 6: Final answer
    x = 1,268.72

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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.