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Finding the Fourth Proportional to 1,768.50, 2,663.04 and 1,309.53

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Solution

The fourth proportional to 1,768.50, 2,663.04 and 1,309.53 is: 1,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.50 : 2,663.04 = 1,309.53 : x
  2. Step 2: Convert to fraction form
    1,768.50/2,663.04 = 1,309.53/x
  3. Step 3: Cross multiply
    1,768.50x = 2,663.04 × 1,309.53
  4. Step 4: Simplify right side
    1,768.50x = 3,487,345.67
  5. Step 5: Solve for x
    x = 3,487,345.67/1,768.50
  6. Step 6: Final answer
    x = 1,971.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.