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Finding the Fourth Proportional to 3,026.71, 4,177.65 and 1,700.84

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Solution

The fourth proportional to 3,026.71, 4,177.65 and 1,700.84 is: 2,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.71 : 4,177.65 = 1,700.84 : x
  2. Step 2: Convert to fraction form
    3,026.71/4,177.65 = 1,700.84/x
  3. Step 3: Cross multiply
    3,026.71x = 4,177.65 × 1,700.84
  4. Step 4: Simplify right side
    3,026.71x = 7,105,514.23
  5. Step 5: Solve for x
    x = 7,105,514.23/3,026.71
  6. Step 6: Final answer
    x = 2,347.60

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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.