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Finding the Fourth Proportional to 1,527.85, 2,291.88 and 1,346.50

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Solution

The fourth proportional to 1,527.85, 2,291.88 and 1,346.50 is: 2,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.85 : 2,291.88 = 1,346.50 : x
  2. Step 2: Convert to fraction form
    1,527.85/2,291.88 = 1,346.50/x
  3. Step 3: Cross multiply
    1,527.85x = 2,291.88 × 1,346.50
  4. Step 4: Simplify right side
    1,527.85x = 3,086,016.42
  5. Step 5: Solve for x
    x = 3,086,016.42/1,527.85
  6. Step 6: Final answer
    x = 2,019.84

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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.