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Finding the Fourth Proportional to 1,658.58, 2,488.27 and 928.66

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Solution

The fourth proportional to 1,658.58, 2,488.27 and 928.66 is: 1,393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.58 : 2,488.27 = 928.66 : x
  2. Step 2: Convert to fraction form
    1,658.58/2,488.27 = 928.66/x
  3. Step 3: Cross multiply
    1,658.58x = 2,488.27 × 928.66
  4. Step 4: Simplify right side
    1,658.58x = 2,310,756.82
  5. Step 5: Solve for x
    x = 2,310,756.82/1,658.58
  6. Step 6: Final answer
    x = 1,393.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.