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Finding the Fourth Proportional to 1,871.99, 2,808.59 and 898.17

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Solution

The fourth proportional to 1,871.99, 2,808.59 and 898.17 is: 1,347.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.99 : 2,808.59 = 898.17 : x
  2. Step 2: Convert to fraction form
    1,871.99/2,808.59 = 898.17/x
  3. Step 3: Cross multiply
    1,871.99x = 2,808.59 × 898.17
  4. Step 4: Simplify right side
    1,871.99x = 2,522,586.50
  5. Step 5: Solve for x
    x = 2,522,586.50/1,871.99
  6. Step 6: Final answer
    x = 1,347.54

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Why These Related Problems?

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