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Finding the Fourth Proportional to 3,007.76, 4,508.46 and 1,032.77

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Solution

The fourth proportional to 3,007.76, 4,508.46 and 1,032.77 is: 1,548.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.76 : 4,508.46 = 1,032.77 : x
  2. Step 2: Convert to fraction form
    3,007.76/4,508.46 = 1,032.77/x
  3. Step 3: Cross multiply
    3,007.76x = 4,508.46 × 1,032.77
  4. Step 4: Simplify right side
    3,007.76x = 4,656,213.51
  5. Step 5: Solve for x
    x = 4,656,213.51/3,007.76
  6. Step 6: Final answer
    x = 1,548.07

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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.