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Finding the Fourth Proportional to 2,437.10, 3,656.55 and 977.30

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Solution

The fourth proportional to 2,437.10, 3,656.55 and 977.30 is: 1,466.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.10 : 3,656.55 = 977.30 : x
  2. Step 2: Convert to fraction form
    2,437.10/3,656.55 = 977.30/x
  3. Step 3: Cross multiply
    2,437.10x = 3,656.55 × 977.30
  4. Step 4: Simplify right side
    2,437.10x = 3,573,546.32
  5. Step 5: Solve for x
    x = 3,573,546.32/2,437.10
  6. Step 6: Final answer
    x = 1,466.31

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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.