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Finding the Fourth Proportional to 2,689.30, 4,033.23 and 741.10

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Solution

The fourth proportional to 2,689.30, 4,033.23 and 741.10 is: 1,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.30 : 4,033.23 = 741.10 : x
  2. Step 2: Convert to fraction form
    2,689.30/4,033.23 = 741.10/x
  3. Step 3: Cross multiply
    2,689.30x = 4,033.23 × 741.10
  4. Step 4: Simplify right side
    2,689.30x = 2,989,026.75
  5. Step 5: Solve for x
    x = 2,989,026.75/2,689.30
  6. Step 6: Final answer
    x = 1,111.45

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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.