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Finding the Fourth Proportional to 1,527.63, 2,108.20 and 864.47

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Solution

The fourth proportional to 1,527.63, 2,108.20 and 864.47 is: 1,193.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.63 : 2,108.20 = 864.47 : x
  2. Step 2: Convert to fraction form
    1,527.63/2,108.20 = 864.47/x
  3. Step 3: Cross multiply
    1,527.63x = 2,108.20 × 864.47
  4. Step 4: Simplify right side
    1,527.63x = 1,822,465.11
  5. Step 5: Solve for x
    x = 1,822,465.11/1,527.63
  6. Step 6: Final answer
    x = 1,193.00

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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.