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Finding the Fourth Proportional to 1,565.68, 2,164.68 and 1,496.80

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Solution

The fourth proportional to 1,565.68, 2,164.68 and 1,496.80 is: 2,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.68 : 2,164.68 = 1,496.80 : x
  2. Step 2: Convert to fraction form
    1,565.68/2,164.68 = 1,496.80/x
  3. Step 3: Cross multiply
    1,565.68x = 2,164.68 × 1,496.80
  4. Step 4: Simplify right side
    1,565.68x = 3,240,093.02
  5. Step 5: Solve for x
    x = 3,240,093.02/1,565.68
  6. Step 6: Final answer
    x = 2,069.45

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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.