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Finding the Fourth Proportional to 2,740.74, 4,110.55 and 985.47

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Solution

The fourth proportional to 2,740.74, 4,110.55 and 985.47 is: 1,478.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.74 : 4,110.55 = 985.47 : x
  2. Step 2: Convert to fraction form
    2,740.74/4,110.55 = 985.47/x
  3. Step 3: Cross multiply
    2,740.74x = 4,110.55 × 985.47
  4. Step 4: Simplify right side
    2,740.74x = 4,050,805.83
  5. Step 5: Solve for x
    x = 4,050,805.83/2,740.74
  6. Step 6: Final answer
    x = 1,478.00

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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.