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Finding the Fourth Proportional to 1,888.28, 2,833.20 and 1,502.36

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Solution

The fourth proportional to 1,888.28, 2,833.20 and 1,502.36 is: 2,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.28 : 2,833.20 = 1,502.36 : x
  2. Step 2: Convert to fraction form
    1,888.28/2,833.20 = 1,502.36/x
  3. Step 3: Cross multiply
    1,888.28x = 2,833.20 × 1,502.36
  4. Step 4: Simplify right side
    1,888.28x = 4,256,486.35
  5. Step 5: Solve for x
    x = 4,256,486.35/1,888.28
  6. Step 6: Final answer
    x = 2,254.16

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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.