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Finding the Fourth Proportional to 2,710.45, 4,063.65 and 977.86

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Solution

The fourth proportional to 2,710.45, 4,063.65 and 977.86 is: 1,466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.45 : 4,063.65 = 977.86 : x
  2. Step 2: Convert to fraction form
    2,710.45/4,063.65 = 977.86/x
  3. Step 3: Cross multiply
    2,710.45x = 4,063.65 × 977.86
  4. Step 4: Simplify right side
    2,710.45x = 3,973,680.79
  5. Step 5: Solve for x
    x = 3,973,680.79/2,710.45
  6. Step 6: Final answer
    x = 1,466.06

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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.