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Finding the Fourth Proportional to 1,755.32, 2,422.47 and 1,009.46

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Solution

The fourth proportional to 1,755.32, 2,422.47 and 1,009.46 is: 1,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.32 : 2,422.47 = 1,009.46 : x
  2. Step 2: Convert to fraction form
    1,755.32/2,422.47 = 1,009.46/x
  3. Step 3: Cross multiply
    1,755.32x = 2,422.47 × 1,009.46
  4. Step 4: Simplify right side
    1,755.32x = 2,445,386.57
  5. Step 5: Solve for x
    x = 2,445,386.57/1,755.32
  6. Step 6: Final answer
    x = 1,393.13

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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.