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Finding the Fourth Proportional to 2,462.16, 3,692.64 and 707.40

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Solution

The fourth proportional to 2,462.16, 3,692.64 and 707.40 is: 1,060.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.16 : 3,692.64 = 707.40 : x
  2. Step 2: Convert to fraction form
    2,462.16/3,692.64 = 707.40/x
  3. Step 3: Cross multiply
    2,462.16x = 3,692.64 × 707.40
  4. Step 4: Simplify right side
    2,462.16x = 2,612,173.54
  5. Step 5: Solve for x
    x = 2,612,173.54/2,462.16
  6. Step 6: Final answer
    x = 1,060.93

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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.