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Finding the Fourth Proportional to 2,925.12, 4,037.16 and 1,878

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Solution

The fourth proportional to 2,925.12, 4,037.16 and 1,878 is: 2,591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.12 : 4,037.16 = 1,878 : x
  2. Step 2: Convert to fraction form
    2,925.12/4,037.16 = 1,878/x
  3. Step 3: Cross multiply
    2,925.12x = 4,037.16 × 1,878
  4. Step 4: Simplify right side
    2,925.12x = 7,581,786.48
  5. Step 5: Solve for x
    x = 7,581,786.48/2,925.12
  6. Step 6: Final answer
    x = 2,591.96

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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.