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Finding the Fourth Proportional to 1,412.36, 2,117.99 and 1,021.17

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Solution

The fourth proportional to 1,412.36, 2,117.99 and 1,021.17 is: 1,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.36 : 2,117.99 = 1,021.17 : x
  2. Step 2: Convert to fraction form
    1,412.36/2,117.99 = 1,021.17/x
  3. Step 3: Cross multiply
    1,412.36x = 2,117.99 × 1,021.17
  4. Step 4: Simplify right side
    1,412.36x = 2,162,822.74
  5. Step 5: Solve for x
    x = 2,162,822.74/1,412.36
  6. Step 6: Final answer
    x = 1,531.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.