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Finding the Fourth Proportional to 2,577.86, 3,866.76 and 630.08

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Solution

The fourth proportional to 2,577.86, 3,866.76 and 630.08 is: 945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.86 : 3,866.76 = 630.08 : x
  2. Step 2: Convert to fraction form
    2,577.86/3,866.76 = 630.08/x
  3. Step 3: Cross multiply
    2,577.86x = 3,866.76 × 630.08
  4. Step 4: Simplify right side
    2,577.86x = 2,436,368.14
  5. Step 5: Solve for x
    x = 2,436,368.14/2,577.86
  6. Step 6: Final answer
    x = 945.11

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1.5x scale

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.