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Finding the Fourth Proportional to 2,599.69, 3,587.21 and 1,465.20

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Solution

The fourth proportional to 2,599.69, 3,587.21 and 1,465.20 is: 2,021.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.69 : 3,587.21 = 1,465.20 : x
  2. Step 2: Convert to fraction form
    2,599.69/3,587.21 = 1,465.20/x
  3. Step 3: Cross multiply
    2,599.69x = 3,587.21 × 1,465.20
  4. Step 4: Simplify right side
    2,599.69x = 5,255,980.09
  5. Step 5: Solve for x
    x = 5,255,980.09/2,599.69
  6. Step 6: Final answer
    x = 2,021.77

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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.