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Finding the Fourth Proportional to 1,238.19, 1,854.64 and 929.58

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Solution

The fourth proportional to 1,238.19, 1,854.64 and 929.58 is: 1,392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.19 : 1,854.64 = 929.58 : x
  2. Step 2: Convert to fraction form
    1,238.19/1,854.64 = 929.58/x
  3. Step 3: Cross multiply
    1,238.19x = 1,854.64 × 929.58
  4. Step 4: Simplify right side
    1,238.19x = 1,724,036.25
  5. Step 5: Solve for x
    x = 1,724,036.25/1,238.19
  6. Step 6: Final answer
    x = 1,392.38

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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.