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Finding the Fourth Proportional to 2,905.64, 4,357.10 and 1,055.47

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Solution

The fourth proportional to 2,905.64, 4,357.10 and 1,055.47 is: 1,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.64 : 4,357.10 = 1,055.47 : x
  2. Step 2: Convert to fraction form
    2,905.64/4,357.10 = 1,055.47/x
  3. Step 3: Cross multiply
    2,905.64x = 4,357.10 × 1,055.47
  4. Step 4: Simplify right side
    2,905.64x = 4,598,780.08
  5. Step 5: Solve for x
    x = 4,598,780.08/2,905.64
  6. Step 6: Final answer
    x = 1,582.71

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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.