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Finding the Fourth Proportional to 1,607.86, 2,218.84 and 909.24

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Solution

The fourth proportional to 1,607.86, 2,218.84 and 909.24 is: 1,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.86 : 2,218.84 = 909.24 : x
  2. Step 2: Convert to fraction form
    1,607.86/2,218.84 = 909.24/x
  3. Step 3: Cross multiply
    1,607.86x = 2,218.84 × 909.24
  4. Step 4: Simplify right side
    1,607.86x = 2,017,458.08
  5. Step 5: Solve for x
    x = 2,017,458.08/1,607.86
  6. Step 6: Final answer
    x = 1,254.75

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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.