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Finding the Fourth Proportional to 1,527.80, 2,109.12 and 990.07

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Solution

The fourth proportional to 1,527.80, 2,109.12 and 990.07 is: 1,366.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.80 : 2,109.12 = 990.07 : x
  2. Step 2: Convert to fraction form
    1,527.80/2,109.12 = 990.07/x
  3. Step 3: Cross multiply
    1,527.80x = 2,109.12 × 990.07
  4. Step 4: Simplify right side
    1,527.80x = 2,088,184.89
  5. Step 5: Solve for x
    x = 2,088,184.89/1,527.80
  6. Step 6: Final answer
    x = 1,366.80

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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.