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Finding the Fourth Proportional to 1,878.42, 2,818.65 and 1,056.93

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Solution

The fourth proportional to 1,878.42, 2,818.65 and 1,056.93 is: 1,585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.42 : 2,818.65 = 1,056.93 : x
  2. Step 2: Convert to fraction form
    1,878.42/2,818.65 = 1,056.93/x
  3. Step 3: Cross multiply
    1,878.42x = 2,818.65 × 1,056.93
  4. Step 4: Simplify right side
    1,878.42x = 2,979,115.74
  5. Step 5: Solve for x
    x = 2,979,115.74/1,878.42
  6. Step 6: Final answer
    x = 1,585.97

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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.