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Finding the Fourth Proportional to 2,470.32, 3,409.32 and 1,422.48

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Solution

The fourth proportional to 2,470.32, 3,409.32 and 1,422.48 is: 1,963.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.32 : 3,409.32 = 1,422.48 : x
  2. Step 2: Convert to fraction form
    2,470.32/3,409.32 = 1,422.48/x
  3. Step 3: Cross multiply
    2,470.32x = 3,409.32 × 1,422.48
  4. Step 4: Simplify right side
    2,470.32x = 4,849,689.51
  5. Step 5: Solve for x
    x = 4,849,689.51/2,470.32
  6. Step 6: Final answer
    x = 1,963.18

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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.