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Finding the Fourth Proportional to 1,527.68, 2,106.20 and 1,507.02

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Solution

The fourth proportional to 1,527.68, 2,106.20 and 1,507.02 is: 2,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.68 : 2,106.20 = 1,507.02 : x
  2. Step 2: Convert to fraction form
    1,527.68/2,106.20 = 1,507.02/x
  3. Step 3: Cross multiply
    1,527.68x = 2,106.20 × 1,507.02
  4. Step 4: Simplify right side
    1,527.68x = 3,174,077.99
  5. Step 5: Solve for x
    x = 3,174,077.99/1,527.68
  6. Step 6: Final answer
    x = 2,077.72

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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.