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Finding the Fourth Proportional to 2,176.86, 3,264.93 and 637.50

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Solution

The fourth proportional to 2,176.86, 3,264.93 and 637.50 is: 956.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.86 : 3,264.93 = 637.50 : x
  2. Step 2: Convert to fraction form
    2,176.86/3,264.93 = 637.50/x
  3. Step 3: Cross multiply
    2,176.86x = 3,264.93 × 637.50
  4. Step 4: Simplify right side
    2,176.86x = 2,081,392.88
  5. Step 5: Solve for x
    x = 2,081,392.88/2,176.86
  6. Step 6: Final answer
    x = 956.14

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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.