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Finding the Fourth Proportional to 1,853.32, 2,780.36 and 929.08

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Solution

The fourth proportional to 1,853.32, 2,780.36 and 929.08 is: 1,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.32 : 2,780.36 = 929.08 : x
  2. Step 2: Convert to fraction form
    1,853.32/2,780.36 = 929.08/x
  3. Step 3: Cross multiply
    1,853.32x = 2,780.36 × 929.08
  4. Step 4: Simplify right side
    1,853.32x = 2,583,176.87
  5. Step 5: Solve for x
    x = 2,583,176.87/1,853.32
  6. Step 6: Final answer
    x = 1,393.81

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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.