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Finding the Fourth Proportional to 2,437.02, 3,656.38 and 771.40

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Solution

The fourth proportional to 2,437.02, 3,656.38 and 771.40 is: 1,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.02 : 3,656.38 = 771.40 : x
  2. Step 2: Convert to fraction form
    2,437.02/3,656.38 = 771.40/x
  3. Step 3: Cross multiply
    2,437.02x = 3,656.38 × 771.40
  4. Step 4: Simplify right side
    2,437.02x = 2,820,531.53
  5. Step 5: Solve for x
    x = 2,820,531.53/2,437.02
  6. Step 6: Final answer
    x = 1,157.37

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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.