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Finding the Fourth Proportional to 1,563.48, 2,326.82 and 1,505.16

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Solution

The fourth proportional to 1,563.48, 2,326.82 and 1,505.16 is: 2,240.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.48 : 2,326.82 = 1,505.16 : x
  2. Step 2: Convert to fraction form
    1,563.48/2,326.82 = 1,505.16/x
  3. Step 3: Cross multiply
    1,563.48x = 2,326.82 × 1,505.16
  4. Step 4: Simplify right side
    1,563.48x = 3,502,228.87
  5. Step 5: Solve for x
    x = 3,502,228.87/1,563.48
  6. Step 6: Final answer
    x = 2,240.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.