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Finding the Fourth Proportional to 1,928.42, 2,658.39 and 1,390.22

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Solution

The fourth proportional to 1,928.42, 2,658.39 and 1,390.22 is: 1,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.42 : 2,658.39 = 1,390.22 : x
  2. Step 2: Convert to fraction form
    1,928.42/2,658.39 = 1,390.22/x
  3. Step 3: Cross multiply
    1,928.42x = 2,658.39 × 1,390.22
  4. Step 4: Simplify right side
    1,928.42x = 3,695,746.95
  5. Step 5: Solve for x
    x = 3,695,746.95/1,928.42
  6. Step 6: Final answer
    x = 1,916.46

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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.