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Finding the Fourth Proportional to 1,878.48, 2,587.41 and 1,346.58

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Solution

The fourth proportional to 1,878.48, 2,587.41 and 1,346.58 is: 1,854.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.48 : 2,587.41 = 1,346.58 : x
  2. Step 2: Convert to fraction form
    1,878.48/2,587.41 = 1,346.58/x
  3. Step 3: Cross multiply
    1,878.48x = 2,587.41 × 1,346.58
  4. Step 4: Simplify right side
    1,878.48x = 3,484,154.56
  5. Step 5: Solve for x
    x = 3,484,154.56/1,878.48
  6. Step 6: Final answer
    x = 1,854.77

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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.