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Finding the Fourth Proportional to 2,876.94, 4,323.62 and 1,417.11

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Solution

The fourth proportional to 2,876.94, 4,323.62 and 1,417.11 is: 2,129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.94 : 4,323.62 = 1,417.11 : x
  2. Step 2: Convert to fraction form
    2,876.94/4,323.62 = 1,417.11/x
  3. Step 3: Cross multiply
    2,876.94x = 4,323.62 × 1,417.11
  4. Step 4: Simplify right side
    2,876.94x = 6,127,038.05
  5. Step 5: Solve for x
    x = 6,127,038.05/2,876.94
  6. Step 6: Final answer
    x = 2,129.71

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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.