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Finding the Fourth Proportional to 1,897, 2,847.10 and 1,411

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Solution

The fourth proportional to 1,897, 2,847.10 and 1,411 is: 2,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897 : 2,847.10 = 1,411 : x
  2. Step 2: Convert to fraction form
    1,897/2,847.10 = 1,411/x
  3. Step 3: Cross multiply
    1,897x = 2,847.10 × 1,411
  4. Step 4: Simplify right side
    1,897x = 4,017,258.10
  5. Step 5: Solve for x
    x = 4,017,258.10/1,897
  6. Step 6: Final answer
    x = 2,117.69

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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.