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Finding the Fourth Proportional to 1,526.04, 2,106.30 and 863.28

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Solution

The fourth proportional to 1,526.04, 2,106.30 and 863.28 is: 1,191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.04 : 2,106.30 = 863.28 : x
  2. Step 2: Convert to fraction form
    1,526.04/2,106.30 = 863.28/x
  3. Step 3: Cross multiply
    1,526.04x = 2,106.30 × 863.28
  4. Step 4: Simplify right side
    1,526.04x = 1,818,326.66
  5. Step 5: Solve for x
    x = 1,818,326.66/1,526.04
  6. Step 6: Final answer
    x = 1,191.53

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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.