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Finding the Fourth Proportional to 1,579, 2,180.10 and 1,300.18

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Solution

The fourth proportional to 1,579, 2,180.10 and 1,300.18 is: 1,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579 : 2,180.10 = 1,300.18 : x
  2. Step 2: Convert to fraction form
    1,579/2,180.10 = 1,300.18/x
  3. Step 3: Cross multiply
    1,579x = 2,180.10 × 1,300.18
  4. Step 4: Simplify right side
    1,579x = 2,834,522.42
  5. Step 5: Solve for x
    x = 2,834,522.42/1,579
  6. Step 6: Final answer
    x = 1,795.14

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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.