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Finding the Fourth Proportional to 1,926.77, 2,658.95 and 1,042.58

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Solution

The fourth proportional to 1,926.77, 2,658.95 and 1,042.58 is: 1,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.77 : 2,658.95 = 1,042.58 : x
  2. Step 2: Convert to fraction form
    1,926.77/2,658.95 = 1,042.58/x
  3. Step 3: Cross multiply
    1,926.77x = 2,658.95 × 1,042.58
  4. Step 4: Simplify right side
    1,926.77x = 2,772,149.58
  5. Step 5: Solve for x
    x = 2,772,149.58/1,926.77
  6. Step 6: Final answer
    x = 1,438.75

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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.