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Finding the Fourth Proportional to 2,588.94, 3,575.10 and 1,659.06

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Solution

The fourth proportional to 2,588.94, 3,575.10 and 1,659.06 is: 2,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.94 : 3,575.10 = 1,659.06 : x
  2. Step 2: Convert to fraction form
    2,588.94/3,575.10 = 1,659.06/x
  3. Step 3: Cross multiply
    2,588.94x = 3,575.10 × 1,659.06
  4. Step 4: Simplify right side
    2,588.94x = 5,931,305.41
  5. Step 5: Solve for x
    x = 5,931,305.41/2,588.94
  6. Step 6: Final answer
    x = 2,291.02

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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.