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Finding the Fourth Proportional to 1,693.57, 2,337.12 and 1,030.41

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Solution

The fourth proportional to 1,693.57, 2,337.12 and 1,030.41 is: 1,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.57 : 2,337.12 = 1,030.41 : x
  2. Step 2: Convert to fraction form
    1,693.57/2,337.12 = 1,030.41/x
  3. Step 3: Cross multiply
    1,693.57x = 2,337.12 × 1,030.41
  4. Step 4: Simplify right side
    1,693.57x = 2,408,191.82
  5. Step 5: Solve for x
    x = 2,408,191.82/1,693.57
  6. Step 6: Final answer
    x = 1,421.96

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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.