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Finding the Fourth Proportional to 2,038.66, 3,057.98 and 740.43

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Solution

The fourth proportional to 2,038.66, 3,057.98 and 740.43 is: 1,110.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.66 : 3,057.98 = 740.43 : x
  2. Step 2: Convert to fraction form
    2,038.66/3,057.98 = 740.43/x
  3. Step 3: Cross multiply
    2,038.66x = 3,057.98 × 740.43
  4. Step 4: Simplify right side
    2,038.66x = 2,264,220.13
  5. Step 5: Solve for x
    x = 2,264,220.13/2,038.66
  6. Step 6: Final answer
    x = 1,110.64

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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.