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Finding the Fourth Proportional to 1,703.34, 2,351.70 and 1,074.72

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Solution

The fourth proportional to 1,703.34, 2,351.70 and 1,074.72 is: 1,483.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.34 : 2,351.70 = 1,074.72 : x
  2. Step 2: Convert to fraction form
    1,703.34/2,351.70 = 1,074.72/x
  3. Step 3: Cross multiply
    1,703.34x = 2,351.70 × 1,074.72
  4. Step 4: Simplify right side
    1,703.34x = 2,527,419.02
  5. Step 5: Solve for x
    x = 2,527,419.02/1,703.34
  6. Step 6: Final answer
    x = 1,483.80

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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.