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Finding the Fourth Proportional to 1,706.03, 2,358.56 and 1,690.46

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Solution

The fourth proportional to 1,706.03, 2,358.56 and 1,690.46 is: 2,337.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.03 : 2,358.56 = 1,690.46 : x
  2. Step 2: Convert to fraction form
    1,706.03/2,358.56 = 1,690.46/x
  3. Step 3: Cross multiply
    1,706.03x = 2,358.56 × 1,690.46
  4. Step 4: Simplify right side
    1,706.03x = 3,987,031.09
  5. Step 5: Solve for x
    x = 3,987,031.09/1,706.03
  6. Step 6: Final answer
    x = 2,337.03

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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.