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Finding the Fourth Proportional to 1,376.34, 1,897.53 and 1,139.42

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Solution

The fourth proportional to 1,376.34, 1,897.53 and 1,139.42 is: 1,570.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.34 : 1,897.53 = 1,139.42 : x
  2. Step 2: Convert to fraction form
    1,376.34/1,897.53 = 1,139.42/x
  3. Step 3: Cross multiply
    1,376.34x = 1,897.53 × 1,139.42
  4. Step 4: Simplify right side
    1,376.34x = 2,162,074.14
  5. Step 5: Solve for x
    x = 2,162,074.14/1,376.34
  6. Step 6: Final answer
    x = 1,570.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.