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Finding the Fourth Proportional to 2,307.64, 3,183.40 and 1,510.60

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Solution

The fourth proportional to 2,307.64, 3,183.40 and 1,510.60 is: 2,083.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.64 : 3,183.40 = 1,510.60 : x
  2. Step 2: Convert to fraction form
    2,307.64/3,183.40 = 1,510.60/x
  3. Step 3: Cross multiply
    2,307.64x = 3,183.40 × 1,510.60
  4. Step 4: Simplify right side
    2,307.64x = 4,808,844.04
  5. Step 5: Solve for x
    x = 4,808,844.04/2,307.64
  6. Step 6: Final answer
    x = 2,083.88

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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.