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Finding the Fourth Proportional to 2,917.71, 4,026.33 and 1,658.81

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Solution

The fourth proportional to 2,917.71, 4,026.33 and 1,658.81 is: 2,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.71 : 4,026.33 = 1,658.81 : x
  2. Step 2: Convert to fraction form
    2,917.71/4,026.33 = 1,658.81/x
  3. Step 3: Cross multiply
    2,917.71x = 4,026.33 × 1,658.81
  4. Step 4: Simplify right side
    2,917.71x = 6,678,916.47
  5. Step 5: Solve for x
    x = 6,678,916.47/2,917.71
  6. Step 6: Final answer
    x = 2,289.10

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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.