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Finding the Fourth Proportional to 2,386.01, 3,578.73 and 654.77

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Solution

The fourth proportional to 2,386.01, 3,578.73 and 654.77 is: 982.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.01 : 3,578.73 = 654.77 : x
  2. Step 2: Convert to fraction form
    2,386.01/3,578.73 = 654.77/x
  3. Step 3: Cross multiply
    2,386.01x = 3,578.73 × 654.77
  4. Step 4: Simplify right side
    2,386.01x = 2,343,245.04
  5. Step 5: Solve for x
    x = 2,343,245.04/2,386.01
  6. Step 6: Final answer
    x = 982.08

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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.