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Finding the Fourth Proportional to 2,386.14, 3,579.17 and 654.76

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Solution

The fourth proportional to 2,386.14, 3,579.17 and 654.76 is: 982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.14 : 3,579.17 = 654.76 : x
  2. Step 2: Convert to fraction form
    2,386.14/3,579.17 = 654.76/x
  3. Step 3: Cross multiply
    2,386.14x = 3,579.17 × 654.76
  4. Step 4: Simplify right side
    2,386.14x = 2,343,497.35
  5. Step 5: Solve for x
    x = 2,343,497.35/2,386.14
  6. Step 6: Final answer
    x = 982.13

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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.