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Finding the Fourth Proportional to 1,823.77, 2,734.44 and 898.55

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Solution

The fourth proportional to 1,823.77, 2,734.44 and 898.55 is: 1,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.77 : 2,734.44 = 898.55 : x
  2. Step 2: Convert to fraction form
    1,823.77/2,734.44 = 898.55/x
  3. Step 3: Cross multiply
    1,823.77x = 2,734.44 × 898.55
  4. Step 4: Simplify right side
    1,823.77x = 2,457,031.06
  5. Step 5: Solve for x
    x = 2,457,031.06/1,823.77
  6. Step 6: Final answer
    x = 1,347.23

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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.