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Finding the Fourth Proportional to 2,130.94, 3,196.85 and 898.35

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Solution

The fourth proportional to 2,130.94, 3,196.85 and 898.35 is: 1,347.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.94 : 3,196.85 = 898.35 : x
  2. Step 2: Convert to fraction form
    2,130.94/3,196.85 = 898.35/x
  3. Step 3: Cross multiply
    2,130.94x = 3,196.85 × 898.35
  4. Step 4: Simplify right side
    2,130.94x = 2,871,885.71
  5. Step 5: Solve for x
    x = 2,871,885.71/2,130.94
  6. Step 6: Final answer
    x = 1,347.71

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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.