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Finding the Fourth Proportional to 2,459.12, 3,687.88 and 977.84

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Solution

The fourth proportional to 2,459.12, 3,687.88 and 977.84 is: 1,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.12 : 3,687.88 = 977.84 : x
  2. Step 2: Convert to fraction form
    2,459.12/3,687.88 = 977.84/x
  3. Step 3: Cross multiply
    2,459.12x = 3,687.88 × 977.84
  4. Step 4: Simplify right side
    2,459.12x = 3,606,172.10
  5. Step 5: Solve for x
    x = 3,606,172.10/2,459.12
  6. Step 6: Final answer
    x = 1,466.45

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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.