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Finding the Fourth Proportional to 2,315.40, 3,172.29 and 2,283

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Solution

The fourth proportional to 2,315.40, 3,172.29 and 2,283 is: 3,127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.40 : 3,172.29 = 2,283 : x
  2. Step 2: Convert to fraction form
    2,315.40/3,172.29 = 2,283/x
  3. Step 3: Cross multiply
    2,315.40x = 3,172.29 × 2,283
  4. Step 4: Simplify right side
    2,315.40x = 7,242,338.07
  5. Step 5: Solve for x
    x = 7,242,338.07/2,315.40
  6. Step 6: Final answer
    x = 3,127.90

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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.