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Finding the Fourth Proportional to 1,670.47, 2,306.00 and 1,200.71

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Solution

The fourth proportional to 1,670.47, 2,306.00 and 1,200.71 is: 1,657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.47 : 2,306.00 = 1,200.71 : x
  2. Step 2: Convert to fraction form
    1,670.47/2,306.00 = 1,200.71/x
  3. Step 3: Cross multiply
    1,670.47x = 2,306.00 × 1,200.71
  4. Step 4: Simplify right side
    1,670.47x = 2,768,837.02
  5. Step 5: Solve for x
    x = 2,768,837.02/1,670.47
  6. Step 6: Final answer
    x = 1,657.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.