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Finding the Fourth Proportional to 3,041.64, 4,564.51 and 1,192.53

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Solution

The fourth proportional to 3,041.64, 4,564.51 and 1,192.53 is: 1,789.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.64 : 4,564.51 = 1,192.53 : x
  2. Step 2: Convert to fraction form
    3,041.64/4,564.51 = 1,192.53/x
  3. Step 3: Cross multiply
    3,041.64x = 4,564.51 × 1,192.53
  4. Step 4: Simplify right side
    3,041.64x = 5,443,315.11
  5. Step 5: Solve for x
    x = 5,443,315.11/3,041.64
  6. Step 6: Final answer
    x = 1,789.60

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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.