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Finding the Fourth Proportional to 2,454.77, 3,681.63 and 810.93

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Solution

The fourth proportional to 2,454.77, 3,681.63 and 810.93 is: 1,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.77 : 3,681.63 = 810.93 : x
  2. Step 2: Convert to fraction form
    2,454.77/3,681.63 = 810.93/x
  3. Step 3: Cross multiply
    2,454.77x = 3,681.63 × 810.93
  4. Step 4: Simplify right side
    2,454.77x = 2,985,544.22
  5. Step 5: Solve for x
    x = 2,985,544.22/2,454.77
  6. Step 6: Final answer
    x = 1,216.22

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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.