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Finding the Fourth Proportional to 1,785.96, 2,678.16 and 964.08

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Solution

The fourth proportional to 1,785.96, 2,678.16 and 964.08 is: 1,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.96 : 2,678.16 = 964.08 : x
  2. Step 2: Convert to fraction form
    1,785.96/2,678.16 = 964.08/x
  3. Step 3: Cross multiply
    1,785.96x = 2,678.16 × 964.08
  4. Step 4: Simplify right side
    1,785.96x = 2,581,960.49
  5. Step 5: Solve for x
    x = 2,581,960.49/1,785.96
  6. Step 6: Final answer
    x = 1,445.70

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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.