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Finding the Fourth Proportional to 1,530.28, 2,111.97 and 909.28

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Solution

The fourth proportional to 1,530.28, 2,111.97 and 909.28 is: 1,254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.28 : 2,111.97 = 909.28 : x
  2. Step 2: Convert to fraction form
    1,530.28/2,111.97 = 909.28/x
  3. Step 3: Cross multiply
    1,530.28x = 2,111.97 × 909.28
  4. Step 4: Simplify right side
    1,530.28x = 1,920,374.72
  5. Step 5: Solve for x
    x = 1,920,374.72/1,530.28
  6. Step 6: Final answer
    x = 1,254.92

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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.