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Finding the Fourth Proportional to 2,894.69, 4,340.21 and 1,597.07

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Solution

The fourth proportional to 2,894.69, 4,340.21 and 1,597.07 is: 2,394.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.69 : 4,340.21 = 1,597.07 : x
  2. Step 2: Convert to fraction form
    2,894.69/4,340.21 = 1,597.07/x
  3. Step 3: Cross multiply
    2,894.69x = 4,340.21 × 1,597.07
  4. Step 4: Simplify right side
    2,894.69x = 6,931,622.05
  5. Step 5: Solve for x
    x = 6,931,622.05/2,894.69
  6. Step 6: Final answer
    x = 2,394.60

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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.