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Finding the Fourth Proportional to 1,523.07, 2,101.77 and 859.92

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Solution

The fourth proportional to 1,523.07, 2,101.77 and 859.92 is: 1,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.07 : 2,101.77 = 859.92 : x
  2. Step 2: Convert to fraction form
    1,523.07/2,101.77 = 859.92/x
  3. Step 3: Cross multiply
    1,523.07x = 2,101.77 × 859.92
  4. Step 4: Simplify right side
    1,523.07x = 1,807,354.06
  5. Step 5: Solve for x
    x = 1,807,354.06/1,523.07
  6. Step 6: Final answer
    x = 1,186.65

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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.