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Finding the Fourth Proportional to 2,659.93, 3,670.16 and 1,480.77

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Solution

The fourth proportional to 2,659.93, 3,670.16 and 1,480.77 is: 2,043.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.93 : 3,670.16 = 1,480.77 : x
  2. Step 2: Convert to fraction form
    2,659.93/3,670.16 = 1,480.77/x
  3. Step 3: Cross multiply
    2,659.93x = 3,670.16 × 1,480.77
  4. Step 4: Simplify right side
    2,659.93x = 5,434,666.53
  5. Step 5: Solve for x
    x = 5,434,666.53/2,659.93
  6. Step 6: Final answer
    x = 2,043.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.