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Finding the Fourth Proportional to 1,780.18, 2,670.12 and 856.48

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Solution

The fourth proportional to 1,780.18, 2,670.12 and 856.48 is: 1,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.18 : 2,670.12 = 856.48 : x
  2. Step 2: Convert to fraction form
    1,780.18/2,670.12 = 856.48/x
  3. Step 3: Cross multiply
    1,780.18x = 2,670.12 × 856.48
  4. Step 4: Simplify right side
    1,780.18x = 2,286,904.38
  5. Step 5: Solve for x
    x = 2,286,904.38/1,780.18
  6. Step 6: Final answer
    x = 1,284.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.