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Finding the Fourth Proportional to 2,854.32, 4,277.94 and 1,209

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Solution

The fourth proportional to 2,854.32, 4,277.94 and 1,209 is: 1,812.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.32 : 4,277.94 = 1,209 : x
  2. Step 2: Convert to fraction form
    2,854.32/4,277.94 = 1,209/x
  3. Step 3: Cross multiply
    2,854.32x = 4,277.94 × 1,209
  4. Step 4: Simplify right side
    2,854.32x = 5,172,029.46
  5. Step 5: Solve for x
    x = 5,172,029.46/2,854.32
  6. Step 6: Final answer
    x = 1,812.00

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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.