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Finding the Fourth Proportional to 2,097.99, 2,894.94 and 1,214.01

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Solution

The fourth proportional to 2,097.99, 2,894.94 and 1,214.01 is: 1,675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.99 : 2,894.94 = 1,214.01 : x
  2. Step 2: Convert to fraction form
    2,097.99/2,894.94 = 1,214.01/x
  3. Step 3: Cross multiply
    2,097.99x = 2,894.94 × 1,214.01
  4. Step 4: Simplify right side
    2,097.99x = 3,514,486.11
  5. Step 5: Solve for x
    x = 3,514,486.11/2,097.99
  6. Step 6: Final answer
    x = 1,675.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.