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Finding the Fourth Proportional to 1,527.81, 2,291.71 and 373.56

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Solution

The fourth proportional to 1,527.81, 2,291.71 and 373.56 is: 560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.81 : 2,291.71 = 373.56 : x
  2. Step 2: Convert to fraction form
    1,527.81/2,291.71 = 373.56/x
  3. Step 3: Cross multiply
    1,527.81x = 2,291.71 × 373.56
  4. Step 4: Simplify right side
    1,527.81x = 856,091.19
  5. Step 5: Solve for x
    x = 856,091.19/1,527.81
  6. Step 6: Final answer
    x = 560.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.