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Finding the Fourth Proportional to 1,688.85, 2,329.76 and 1,129.34

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Solution

The fourth proportional to 1,688.85, 2,329.76 and 1,129.34 is: 1,557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.85 : 2,329.76 = 1,129.34 : x
  2. Step 2: Convert to fraction form
    1,688.85/2,329.76 = 1,129.34/x
  3. Step 3: Cross multiply
    1,688.85x = 2,329.76 × 1,129.34
  4. Step 4: Simplify right side
    1,688.85x = 2,631,099.81
  5. Step 5: Solve for x
    x = 2,631,099.81/1,688.85
  6. Step 6: Final answer
    x = 1,557.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.