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Finding the Fourth Proportional to 1,688.29, 2,330.91 and 1,100.50

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Solution

The fourth proportional to 1,688.29, 2,330.91 and 1,100.50 is: 1,519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.29 : 2,330.91 = 1,100.50 : x
  2. Step 2: Convert to fraction form
    1,688.29/2,330.91 = 1,100.50/x
  3. Step 3: Cross multiply
    1,688.29x = 2,330.91 × 1,100.50
  4. Step 4: Simplify right side
    1,688.29x = 2,565,166.46
  5. Step 5: Solve for x
    x = 2,565,166.46/1,688.29
  6. Step 6: Final answer
    x = 1,519.39

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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.