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Finding the Fourth Proportional to 1,560, 2,336.67 and 1,010.55

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Solution

The fourth proportional to 1,560, 2,336.67 and 1,010.55 is: 1,513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560 : 2,336.67 = 1,010.55 : x
  2. Step 2: Convert to fraction form
    1,560/2,336.67 = 1,010.55/x
  3. Step 3: Cross multiply
    1,560x = 2,336.67 × 1,010.55
  4. Step 4: Simplify right side
    1,560x = 2,361,321.87
  5. Step 5: Solve for x
    x = 2,361,321.87/1,560
  6. Step 6: Final answer
    x = 1,513.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.