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Finding the Fourth Proportional to 2,616.81, 3,925.46 and 973.11

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Solution

The fourth proportional to 2,616.81, 3,925.46 and 973.11 is: 1,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.81 : 3,925.46 = 973.11 : x
  2. Step 2: Convert to fraction form
    2,616.81/3,925.46 = 973.11/x
  3. Step 3: Cross multiply
    2,616.81x = 3,925.46 × 973.11
  4. Step 4: Simplify right side
    2,616.81x = 3,819,921.53
  5. Step 5: Solve for x
    x = 3,819,921.53/2,616.81
  6. Step 6: Final answer
    x = 1,459.76

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1.5x scale

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.