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Finding the Fourth Proportional to 1,704.86, 2,352.93 and 1,006.22

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Solution

The fourth proportional to 1,704.86, 2,352.93 and 1,006.22 is: 1,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.86 : 2,352.93 = 1,006.22 : x
  2. Step 2: Convert to fraction form
    1,704.86/2,352.93 = 1,006.22/x
  3. Step 3: Cross multiply
    1,704.86x = 2,352.93 × 1,006.22
  4. Step 4: Simplify right side
    1,704.86x = 2,367,565.22
  5. Step 5: Solve for x
    x = 2,367,565.22/1,704.86
  6. Step 6: Final answer
    x = 1,388.72

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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.