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Finding the Fourth Proportional to 2,316.60, 3,175.20 and 2,300.40

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Solution

The fourth proportional to 2,316.60, 3,175.20 and 2,300.40 is: 3,153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.60 : 3,175.20 = 2,300.40 : x
  2. Step 2: Convert to fraction form
    2,316.60/3,175.20 = 2,300.40/x
  3. Step 3: Cross multiply
    2,316.60x = 3,175.20 × 2,300.40
  4. Step 4: Simplify right side
    2,316.60x = 7,304,230.08
  5. Step 5: Solve for x
    x = 7,304,230.08/2,316.60
  6. Step 6: Final answer
    x = 3,153.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.