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Finding the Fourth Proportional to 1,526.54, 2,106.54 and 896.97

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Solution

The fourth proportional to 1,526.54, 2,106.54 and 896.97 is: 1,237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.54 : 2,106.54 = 896.97 : x
  2. Step 2: Convert to fraction form
    1,526.54/2,106.54 = 896.97/x
  3. Step 3: Cross multiply
    1,526.54x = 2,106.54 × 896.97
  4. Step 4: Simplify right side
    1,526.54x = 1,889,503.18
  5. Step 5: Solve for x
    x = 1,889,503.18/1,526.54
  6. Step 6: Final answer
    x = 1,237.77

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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.