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Finding the Fourth Proportional to 2,307.74, 3,184.61 and 1,313.16

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Solution

The fourth proportional to 2,307.74, 3,184.61 and 1,313.16 is: 1,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.74 : 3,184.61 = 1,313.16 : x
  2. Step 2: Convert to fraction form
    2,307.74/3,184.61 = 1,313.16/x
  3. Step 3: Cross multiply
    2,307.74x = 3,184.61 × 1,313.16
  4. Step 4: Simplify right side
    2,307.74x = 4,181,905.75
  5. Step 5: Solve for x
    x = 4,181,905.75/2,307.74
  6. Step 6: Final answer
    x = 1,812.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.