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Finding the Fourth Proportional to 2,537, 3,501.06 and 1,433

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Solution

The fourth proportional to 2,537, 3,501.06 and 1,433 is: 1,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537 : 3,501.06 = 1,433 : x
  2. Step 2: Convert to fraction form
    2,537/3,501.06 = 1,433/x
  3. Step 3: Cross multiply
    2,537x = 3,501.06 × 1,433
  4. Step 4: Simplify right side
    2,537x = 5,017,018.98
  5. Step 5: Solve for x
    x = 5,017,018.98/2,537
  6. Step 6: Final answer
    x = 1,977.54

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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.