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Finding the Fourth Proportional to 2,307.64, 3,457.86 and 1,266.76

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Solution

The fourth proportional to 2,307.64, 3,457.86 and 1,266.76 is: 1,898.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.64 : 3,457.86 = 1,266.76 : x
  2. Step 2: Convert to fraction form
    2,307.64/3,457.86 = 1,266.76/x
  3. Step 3: Cross multiply
    2,307.64x = 3,457.86 × 1,266.76
  4. Step 4: Simplify right side
    2,307.64x = 4,380,278.73
  5. Step 5: Solve for x
    x = 4,380,278.73/2,307.64
  6. Step 6: Final answer
    x = 1,898.16

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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.