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Finding the Fourth Proportional to 1,891.08, 2,608.32 and 1,458.30

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Solution

The fourth proportional to 1,891.08, 2,608.32 and 1,458.30 is: 2,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.08 : 2,608.32 = 1,458.30 : x
  2. Step 2: Convert to fraction form
    1,891.08/2,608.32 = 1,458.30/x
  3. Step 3: Cross multiply
    1,891.08x = 2,608.32 × 1,458.30
  4. Step 4: Simplify right side
    1,891.08x = 3,803,712.77
  5. Step 5: Solve for x
    x = 3,803,712.77/1,891.08
  6. Step 6: Final answer
    x = 2,011.40

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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.