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Finding the Fourth Proportional to 2,402.75, 3,315.80 and 1,298.75

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Solution

The fourth proportional to 2,402.75, 3,315.80 and 1,298.75 is: 1,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.75 : 3,315.80 = 1,298.75 : x
  2. Step 2: Convert to fraction form
    2,402.75/3,315.80 = 1,298.75/x
  3. Step 3: Cross multiply
    2,402.75x = 3,315.80 × 1,298.75
  4. Step 4: Simplify right side
    2,402.75x = 4,306,395.25
  5. Step 5: Solve for x
    x = 4,306,395.25/2,402.75
  6. Step 6: Final answer
    x = 1,792.28

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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.