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Finding the Fourth Proportional to 2,464.60, 3,400.50 and 1,470.22

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Solution

The fourth proportional to 2,464.60, 3,400.50 and 1,470.22 is: 2,028.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.60 : 3,400.50 = 1,470.22 : x
  2. Step 2: Convert to fraction form
    2,464.60/3,400.50 = 1,470.22/x
  3. Step 3: Cross multiply
    2,464.60x = 3,400.50 × 1,470.22
  4. Step 4: Simplify right side
    2,464.60x = 4,999,483.11
  5. Step 5: Solve for x
    x = 4,999,483.11/2,464.60
  6. Step 6: Final answer
    x = 2,028.52

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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.