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Finding the Fourth Proportional to 2,955.64, 4,432.32 and 980.67

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Solution

The fourth proportional to 2,955.64, 4,432.32 and 980.67 is: 1,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.64 : 4,432.32 = 980.67 : x
  2. Step 2: Convert to fraction form
    2,955.64/4,432.32 = 980.67/x
  3. Step 3: Cross multiply
    2,955.64x = 4,432.32 × 980.67
  4. Step 4: Simplify right side
    2,955.64x = 4,346,643.25
  5. Step 5: Solve for x
    x = 4,346,643.25/2,955.64
  6. Step 6: Final answer
    x = 1,470.63

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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.