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Finding the Fourth Proportional to 2,438.70, 3,657.96 and 977.46

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Solution

The fourth proportional to 2,438.70, 3,657.96 and 977.46 is: 1,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.70 : 3,657.96 = 977.46 : x
  2. Step 2: Convert to fraction form
    2,438.70/3,657.96 = 977.46/x
  3. Step 3: Cross multiply
    2,438.70x = 3,657.96 × 977.46
  4. Step 4: Simplify right side
    2,438.70x = 3,575,509.58
  5. Step 5: Solve for x
    x = 3,575,509.58/2,438.70
  6. Step 6: Final answer
    x = 1,466.15

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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.