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Finding the Fourth Proportional to 1,703.13, 2,552.67 and 971.70

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Solution

The fourth proportional to 1,703.13, 2,552.67 and 971.70 is: 1,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.13 : 2,552.67 = 971.70 : x
  2. Step 2: Convert to fraction form
    1,703.13/2,552.67 = 971.70/x
  3. Step 3: Cross multiply
    1,703.13x = 2,552.67 × 971.70
  4. Step 4: Simplify right side
    1,703.13x = 2,480,429.44
  5. Step 5: Solve for x
    x = 2,480,429.44/1,703.13
  6. Step 6: Final answer
    x = 1,456.39

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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.