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Finding the Fourth Proportional to 1,658.18, 2,285.74 and 1,392.50

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Solution

The fourth proportional to 1,658.18, 2,285.74 and 1,392.50 is: 1,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.18 : 2,285.74 = 1,392.50 : x
  2. Step 2: Convert to fraction form
    1,658.18/2,285.74 = 1,392.50/x
  3. Step 3: Cross multiply
    1,658.18x = 2,285.74 × 1,392.50
  4. Step 4: Simplify right side
    1,658.18x = 3,182,892.95
  5. Step 5: Solve for x
    x = 3,182,892.95/1,658.18
  6. Step 6: Final answer
    x = 1,919.51

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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.