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Finding the Fourth Proportional to 2,597.51, 3,585.21 and 1,603.61

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Solution

The fourth proportional to 2,597.51, 3,585.21 and 1,603.61 is: 2,213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.51 : 3,585.21 = 1,603.61 : x
  2. Step 2: Convert to fraction form
    2,597.51/3,585.21 = 1,603.61/x
  3. Step 3: Cross multiply
    2,597.51x = 3,585.21 × 1,603.61
  4. Step 4: Simplify right side
    2,597.51x = 5,749,260.68
  5. Step 5: Solve for x
    x = 5,749,260.68/2,597.51
  6. Step 6: Final answer
    x = 2,213.38

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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.