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Finding the Fourth Proportional to 2,348.66, 3,220.13 and 2,307.35

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Solution

The fourth proportional to 2,348.66, 3,220.13 and 2,307.35 is: 3,163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.66 : 3,220.13 = 2,307.35 : x
  2. Step 2: Convert to fraction form
    2,348.66/3,220.13 = 2,307.35/x
  3. Step 3: Cross multiply
    2,348.66x = 3,220.13 × 2,307.35
  4. Step 4: Simplify right side
    2,348.66x = 7,429,939.32
  5. Step 5: Solve for x
    x = 7,429,939.32/2,348.66
  6. Step 6: Final answer
    x = 3,163.49

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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.