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Finding the Fourth Proportional to 2,369.48, 3,554.36 and 726.14

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Solution

The fourth proportional to 2,369.48, 3,554.36 and 726.14 is: 1,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.48 : 3,554.36 = 726.14 : x
  2. Step 2: Convert to fraction form
    2,369.48/3,554.36 = 726.14/x
  3. Step 3: Cross multiply
    2,369.48x = 3,554.36 × 726.14
  4. Step 4: Simplify right side
    2,369.48x = 2,580,962.97
  5. Step 5: Solve for x
    x = 2,580,962.97/2,369.48
  6. Step 6: Final answer
    x = 1,089.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.