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Finding the Fourth Proportional to 2,896, 4,344 and 948.16

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Solution

The fourth proportional to 2,896, 4,344 and 948.16 is: 1,422.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896 : 4,344 = 948.16 : x
  2. Step 2: Convert to fraction form
    2,896/4,344 = 948.16/x
  3. Step 3: Cross multiply
    2,896x = 4,344 × 948.16
  4. Step 4: Simplify right side
    2,896x = 4,118,807.04
  5. Step 5: Solve for x
    x = 4,118,807.04/2,896
  6. Step 6: Final answer
    x = 1,422.24

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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.