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Finding the Fourth Proportional to 2,876.99, 4,312.25 and 1,417.17

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Solution

The fourth proportional to 2,876.99, 4,312.25 and 1,417.17 is: 2,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.99 : 4,312.25 = 1,417.17 : x
  2. Step 2: Convert to fraction form
    2,876.99/4,312.25 = 1,417.17/x
  3. Step 3: Cross multiply
    2,876.99x = 4,312.25 × 1,417.17
  4. Step 4: Simplify right side
    2,876.99x = 6,111,184.25
  5. Step 5: Solve for x
    x = 6,111,184.25/2,876.99
  6. Step 6: Final answer
    x = 2,124.16

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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.