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Finding the Fourth Proportional to 2,402, 3,603 and 578

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Solution

The fourth proportional to 2,402, 3,603 and 578 is: 867

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402 : 3,603 = 578 : x
  2. Step 2: Convert to fraction form
    2,402/3,603 = 578/x
  3. Step 3: Cross multiply
    2,402x = 3,603 × 578
  4. Step 4: Simplify right side
    2,402x = 2,082,534
  5. Step 5: Solve for x
    x = 2,082,534/2,402
  6. Step 6: Final answer
    x = 867

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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.