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Finding the Fourth Proportional to 2,464.93, 3,402.30 and 1,470.86

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Solution

The fourth proportional to 2,464.93, 3,402.30 and 1,470.86 is: 2,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.93 : 3,402.30 = 1,470.86 : x
  2. Step 2: Convert to fraction form
    2,464.93/3,402.30 = 1,470.86/x
  3. Step 3: Cross multiply
    2,464.93x = 3,402.30 × 1,470.86
  4. Step 4: Simplify right side
    2,464.93x = 5,004,308.24
  5. Step 5: Solve for x
    x = 5,004,308.24/2,464.93
  6. Step 6: Final answer
    x = 2,030.20

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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.