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Finding the Fourth Proportional to 1,397.16, 2,093.13 and 1,001.01

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Solution

The fourth proportional to 1,397.16, 2,093.13 and 1,001.01 is: 1,499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.16 : 2,093.13 = 1,001.01 : x
  2. Step 2: Convert to fraction form
    1,397.16/2,093.13 = 1,001.01/x
  3. Step 3: Cross multiply
    1,397.16x = 2,093.13 × 1,001.01
  4. Step 4: Simplify right side
    1,397.16x = 2,095,244.06
  5. Step 5: Solve for x
    x = 2,095,244.06/1,397.16
  6. Step 6: Final answer
    x = 1,499.65

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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.