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Finding the Fourth Proportional to 2,363.48, 3,261.48 and 1,315.60

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Solution

The fourth proportional to 2,363.48, 3,261.48 and 1,315.60 is: 1,815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.48 : 3,261.48 = 1,315.60 : x
  2. Step 2: Convert to fraction form
    2,363.48/3,261.48 = 1,315.60/x
  3. Step 3: Cross multiply
    2,363.48x = 3,261.48 × 1,315.60
  4. Step 4: Simplify right side
    2,363.48x = 4,290,803.09
  5. Step 5: Solve for x
    x = 4,290,803.09/2,363.48
  6. Step 6: Final answer
    x = 1,815.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.