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Finding the Fourth Proportional to 3,303, 4,560.57 and 2,253.24

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Solution

The fourth proportional to 3,303, 4,560.57 and 2,253.24 is: 3,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303 : 4,560.57 = 2,253.24 : x
  2. Step 2: Convert to fraction form
    3,303/4,560.57 = 2,253.24/x
  3. Step 3: Cross multiply
    3,303x = 4,560.57 × 2,253.24
  4. Step 4: Simplify right side
    3,303x = 10,276,058.75
  5. Step 5: Solve for x
    x = 10,276,058.75/3,303
  6. Step 6: Final answer
    x = 3,111.13

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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.