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Finding the Fourth Proportional to 1,740.58, 2,610.92 and 442.15

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Solution

The fourth proportional to 1,740.58, 2,610.92 and 442.15 is: 663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.58 : 2,610.92 = 442.15 : x
  2. Step 2: Convert to fraction form
    1,740.58/2,610.92 = 442.15/x
  3. Step 3: Cross multiply
    1,740.58x = 2,610.92 × 442.15
  4. Step 4: Simplify right side
    1,740.58x = 1,154,418.28
  5. Step 5: Solve for x
    x = 1,154,418.28/1,740.58
  6. Step 6: Final answer
    x = 663.24

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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.