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Finding the Fourth Proportional to 1,870.84, 2,581.14 and 1,208.14

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Solution

The fourth proportional to 1,870.84, 2,581.14 and 1,208.14 is: 1,666.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.84 : 2,581.14 = 1,208.14 : x
  2. Step 2: Convert to fraction form
    1,870.84/2,581.14 = 1,208.14/x
  3. Step 3: Cross multiply
    1,870.84x = 2,581.14 × 1,208.14
  4. Step 4: Simplify right side
    1,870.84x = 3,118,378.48
  5. Step 5: Solve for x
    x = 3,118,378.48/1,870.84
  6. Step 6: Final answer
    x = 1,666.83

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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.