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Finding the Fourth Proportional to 1,526.12, 2,105.94 and 905

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Solution

The fourth proportional to 1,526.12, 2,105.94 and 905 is: 1,248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.12 : 2,105.94 = 905 : x
  2. Step 2: Convert to fraction form
    1,526.12/2,105.94 = 905/x
  3. Step 3: Cross multiply
    1,526.12x = 2,105.94 × 905
  4. Step 4: Simplify right side
    1,526.12x = 1,905,875.70
  5. Step 5: Solve for x
    x = 1,905,875.70/1,526.12
  6. Step 6: Final answer
    x = 1,248.84

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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.