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Finding the Fourth Proportional to 2,041.94, 3,061.08 and 742.50

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Solution

The fourth proportional to 2,041.94, 3,061.08 and 742.50 is: 1,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.94 : 3,061.08 = 742.50 : x
  2. Step 2: Convert to fraction form
    2,041.94/3,061.08 = 742.50/x
  3. Step 3: Cross multiply
    2,041.94x = 3,061.08 × 742.50
  4. Step 4: Simplify right side
    2,041.94x = 2,272,851.90
  5. Step 5: Solve for x
    x = 2,272,851.90/2,041.94
  6. Step 6: Final answer
    x = 1,113.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.