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Finding the Fourth Proportional to 1,526.77, 2,106.35 and 996.28

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Solution

The fourth proportional to 1,526.77, 2,106.35 and 996.28 is: 1,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.77 : 2,106.35 = 996.28 : x
  2. Step 2: Convert to fraction form
    1,526.77/2,106.35 = 996.28/x
  3. Step 3: Cross multiply
    1,526.77x = 2,106.35 × 996.28
  4. Step 4: Simplify right side
    1,526.77x = 2,098,507.87
  5. Step 5: Solve for x
    x = 2,098,507.87/1,526.77
  6. Step 6: Final answer
    x = 1,374.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.