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Finding the Fourth Proportional to 2,470.69, 3,703.61 and 1,173.07

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Solution

The fourth proportional to 2,470.69, 3,703.61 and 1,173.07 is: 1,758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.69 : 3,703.61 = 1,173.07 : x
  2. Step 2: Convert to fraction form
    2,470.69/3,703.61 = 1,173.07/x
  3. Step 3: Cross multiply
    2,470.69x = 3,703.61 × 1,173.07
  4. Step 4: Simplify right side
    2,470.69x = 4,344,587.92
  5. Step 5: Solve for x
    x = 4,344,587.92/2,470.69
  6. Step 6: Final answer
    x = 1,758.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.