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Finding the Fourth Proportional to 1,698.17, 2,536.92 and 1,421.35

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Solution

The fourth proportional to 1,698.17, 2,536.92 and 1,421.35 is: 2,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.17 : 2,536.92 = 1,421.35 : x
  2. Step 2: Convert to fraction form
    1,698.17/2,536.92 = 1,421.35/x
  3. Step 3: Cross multiply
    1,698.17x = 2,536.92 × 1,421.35
  4. Step 4: Simplify right side
    1,698.17x = 3,605,844.90
  5. Step 5: Solve for x
    x = 3,605,844.90/1,698.17
  6. Step 6: Final answer
    x = 2,123.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.