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Finding the Fourth Proportional to 1,688.61, 2,330.33 and 942.67

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Solution

The fourth proportional to 1,688.61, 2,330.33 and 942.67 is: 1,300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.61 : 2,330.33 = 942.67 : x
  2. Step 2: Convert to fraction form
    1,688.61/2,330.33 = 942.67/x
  3. Step 3: Cross multiply
    1,688.61x = 2,330.33 × 942.67
  4. Step 4: Simplify right side
    1,688.61x = 2,196,732.18
  5. Step 5: Solve for x
    x = 2,196,732.18/1,688.61
  6. Step 6: Final answer
    x = 1,300.91

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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.