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Finding the Fourth Proportional to 2,354.80, 3,250.52 and 1,470.84

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Solution

The fourth proportional to 2,354.80, 3,250.52 and 1,470.84 is: 2,030.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.80 : 3,250.52 = 1,470.84 : x
  2. Step 2: Convert to fraction form
    2,354.80/3,250.52 = 1,470.84/x
  3. Step 3: Cross multiply
    2,354.80x = 3,250.52 × 1,470.84
  4. Step 4: Simplify right side
    2,354.80x = 4,780,994.84
  5. Step 5: Solve for x
    x = 4,780,994.84/2,354.80
  6. Step 6: Final answer
    x = 2,030.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.