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Finding the Fourth Proportional to 2,666.25, 4,000.82 and 1,298.25

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Solution

The fourth proportional to 2,666.25, 4,000.82 and 1,298.25 is: 1,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.25 : 4,000.82 = 1,298.25 : x
  2. Step 2: Convert to fraction form
    2,666.25/4,000.82 = 1,298.25/x
  3. Step 3: Cross multiply
    2,666.25x = 4,000.82 × 1,298.25
  4. Step 4: Simplify right side
    2,666.25x = 5,194,058.07
  5. Step 5: Solve for x
    x = 5,194,058.07/2,666.25
  6. Step 6: Final answer
    x = 1,948.08

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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.