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Finding the Fourth Proportional to 2,407.84, 3,611.08 and 926.72

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Solution

The fourth proportional to 2,407.84, 3,611.08 and 926.72 is: 1,389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.84 : 3,611.08 = 926.72 : x
  2. Step 2: Convert to fraction form
    2,407.84/3,611.08 = 926.72/x
  3. Step 3: Cross multiply
    2,407.84x = 3,611.08 × 926.72
  4. Step 4: Simplify right side
    2,407.84x = 3,346,460.06
  5. Step 5: Solve for x
    x = 3,346,460.06/2,407.84
  6. Step 6: Final answer
    x = 1,389.82

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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.