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Finding the Fourth Proportional to 2,465.18, 3,401.94 and 1,470.50

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Solution

The fourth proportional to 2,465.18, 3,401.94 and 1,470.50 is: 2,029.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.18 : 3,401.94 = 1,470.50 : x
  2. Step 2: Convert to fraction form
    2,465.18/3,401.94 = 1,470.50/x
  3. Step 3: Cross multiply
    2,465.18x = 3,401.94 × 1,470.50
  4. Step 4: Simplify right side
    2,465.18x = 5,002,566.79
  5. Step 5: Solve for x
    x = 5,002,566.79/2,465.18
  6. Step 6: Final answer
    x = 2,029.29

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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.