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Finding the Fourth Proportional to 2,473.58, 3,710.91 and 718.61

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Solution

The fourth proportional to 2,473.58, 3,710.91 and 718.61 is: 1,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.58 : 3,710.91 = 718.61 : x
  2. Step 2: Convert to fraction form
    2,473.58/3,710.91 = 718.61/x
  3. Step 3: Cross multiply
    2,473.58x = 3,710.91 × 718.61
  4. Step 4: Simplify right side
    2,473.58x = 2,666,697.04
  5. Step 5: Solve for x
    x = 2,666,697.04/2,473.58
  6. Step 6: Final answer
    x = 1,078.07

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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.