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Finding the Fourth Proportional to 1,547.03, 2,134.96 and 848.41

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Solution

The fourth proportional to 1,547.03, 2,134.96 and 848.41 is: 1,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.03 : 2,134.96 = 848.41 : x
  2. Step 2: Convert to fraction form
    1,547.03/2,134.96 = 848.41/x
  3. Step 3: Cross multiply
    1,547.03x = 2,134.96 × 848.41
  4. Step 4: Simplify right side
    1,547.03x = 1,811,306.50
  5. Step 5: Solve for x
    x = 1,811,306.50/1,547.03
  6. Step 6: Final answer
    x = 1,170.83

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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.