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Finding the Fourth Proportional to 2,041.16, 3,061.04 and 742.32

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Solution

The fourth proportional to 2,041.16, 3,061.04 and 742.32 is: 1,113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.16 : 3,061.04 = 742.32 : x
  2. Step 2: Convert to fraction form
    2,041.16/3,061.04 = 742.32/x
  3. Step 3: Cross multiply
    2,041.16x = 3,061.04 × 742.32
  4. Step 4: Simplify right side
    2,041.16x = 2,272,271.21
  5. Step 5: Solve for x
    x = 2,272,271.21/2,041.16
  6. Step 6: Final answer
    x = 1,113.23

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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.