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Finding the Fourth Proportional to 1,754.98, 2,422.01 and 1,009.07

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Solution

The fourth proportional to 1,754.98, 2,422.01 and 1,009.07 is: 1,392.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.98 : 2,422.01 = 1,009.07 : x
  2. Step 2: Convert to fraction form
    1,754.98/2,422.01 = 1,009.07/x
  3. Step 3: Cross multiply
    1,754.98x = 2,422.01 × 1,009.07
  4. Step 4: Simplify right side
    1,754.98x = 2,443,972.59
  5. Step 5: Solve for x
    x = 2,443,972.59/1,754.98
  6. Step 6: Final answer
    x = 1,392.60

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1.5x scale

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.