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Finding the Fourth Proportional to 1,883, 2,598.54 and 1,147

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Solution

The fourth proportional to 1,883, 2,598.54 and 1,147 is: 1,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883 : 2,598.54 = 1,147 : x
  2. Step 2: Convert to fraction form
    1,883/2,598.54 = 1,147/x
  3. Step 3: Cross multiply
    1,883x = 2,598.54 × 1,147
  4. Step 4: Simplify right side
    1,883x = 2,980,525.38
  5. Step 5: Solve for x
    x = 2,980,525.38/1,883
  6. Step 6: Final answer
    x = 1,582.86

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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.