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Finding the Fourth Proportional to 1,565.76, 2,170.64 and 1,482.53

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Solution

The fourth proportional to 1,565.76, 2,170.64 and 1,482.53 is: 2,055.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.76 : 2,170.64 = 1,482.53 : x
  2. Step 2: Convert to fraction form
    1,565.76/2,170.64 = 1,482.53/x
  3. Step 3: Cross multiply
    1,565.76x = 2,170.64 × 1,482.53
  4. Step 4: Simplify right side
    1,565.76x = 3,218,036.93
  5. Step 5: Solve for x
    x = 3,218,036.93/1,565.76
  6. Step 6: Final answer
    x = 2,055.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.