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Finding the Fourth Proportional to 1,675.17, 2,311.70 and 976.50

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Solution

The fourth proportional to 1,675.17, 2,311.70 and 976.50 is: 1,347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.17 : 2,311.70 = 976.50 : x
  2. Step 2: Convert to fraction form
    1,675.17/2,311.70 = 976.50/x
  3. Step 3: Cross multiply
    1,675.17x = 2,311.70 × 976.50
  4. Step 4: Simplify right side
    1,675.17x = 2,257,370.17
  5. Step 5: Solve for x
    x = 2,257,370.17/1,675.17
  6. Step 6: Final answer
    x = 1,347.55

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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.