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Finding the Fourth Proportional to 2,917.84, 4,026.48 and 1,658.87

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Solution

The fourth proportional to 2,917.84, 4,026.48 and 1,658.87 is: 2,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.84 : 4,026.48 = 1,658.87 : x
  2. Step 2: Convert to fraction form
    2,917.84/4,026.48 = 1,658.87/x
  3. Step 3: Cross multiply
    2,917.84x = 4,026.48 × 1,658.87
  4. Step 4: Simplify right side
    2,917.84x = 6,679,416.94
  5. Step 5: Solve for x
    x = 6,679,416.94/2,917.84
  6. Step 6: Final answer
    x = 2,289.17

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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.