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Finding the Fourth Proportional to 1,374.62, 1,897.04 and 753.62

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Solution

The fourth proportional to 1,374.62, 1,897.04 and 753.62 is: 1,040.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.62 : 1,897.04 = 753.62 : x
  2. Step 2: Convert to fraction form
    1,374.62/1,897.04 = 753.62/x
  3. Step 3: Cross multiply
    1,374.62x = 1,897.04 × 753.62
  4. Step 4: Simplify right side
    1,374.62x = 1,429,647.28
  5. Step 5: Solve for x
    x = 1,429,647.28/1,374.62
  6. Step 6: Final answer
    x = 1,040.03

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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.