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Finding the Fourth Proportional to 1,878.42, 2,569.22 and 1,848.18

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Solution

The fourth proportional to 1,878.42, 2,569.22 and 1,848.18 is: 2,527.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.42 : 2,569.22 = 1,848.18 : x
  2. Step 2: Convert to fraction form
    1,878.42/2,569.22 = 1,848.18/x
  3. Step 3: Cross multiply
    1,878.42x = 2,569.22 × 1,848.18
  4. Step 4: Simplify right side
    1,878.42x = 4,748,371.78
  5. Step 5: Solve for x
    x = 4,748,371.78/1,878.42
  6. Step 6: Final answer
    x = 2,527.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.