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Finding the Fourth Proportional to 1,785.52, 2,678.54 and 675.35

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Solution

The fourth proportional to 1,785.52, 2,678.54 and 675.35 is: 1,013.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.52 : 2,678.54 = 675.35 : x
  2. Step 2: Convert to fraction form
    1,785.52/2,678.54 = 675.35/x
  3. Step 3: Cross multiply
    1,785.52x = 2,678.54 × 675.35
  4. Step 4: Simplify right side
    1,785.52x = 1,808,960.33
  5. Step 5: Solve for x
    x = 1,808,960.33/1,785.52
  6. Step 6: Final answer
    x = 1,013.13

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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.