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Finding the Fourth Proportional to 2,310.98, 3,465.02 and 1,530.14

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Solution

The fourth proportional to 2,310.98, 3,465.02 and 1,530.14 is: 2,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.98 : 3,465.02 = 1,530.14 : x
  2. Step 2: Convert to fraction form
    2,310.98/3,465.02 = 1,530.14/x
  3. Step 3: Cross multiply
    2,310.98x = 3,465.02 × 1,530.14
  4. Step 4: Simplify right side
    2,310.98x = 5,301,965.70
  5. Step 5: Solve for x
    x = 5,301,965.70/2,310.98
  6. Step 6: Final answer
    x = 2,294.25

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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.