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Finding the Fourth Proportional to 2,386.63, 3,579.87 and 655.24

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Solution

The fourth proportional to 2,386.63, 3,579.87 and 655.24 is: 982.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.63 : 3,579.87 = 655.24 : x
  2. Step 2: Convert to fraction form
    2,386.63/3,579.87 = 655.24/x
  3. Step 3: Cross multiply
    2,386.63x = 3,579.87 × 655.24
  4. Step 4: Simplify right side
    2,386.63x = 2,345,674.02
  5. Step 5: Solve for x
    x = 2,345,674.02/2,386.63
  6. Step 6: Final answer
    x = 982.84

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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.