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Finding the Fourth Proportional to 1,523.86, 2,289.43 and 977.11

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Solution

The fourth proportional to 1,523.86, 2,289.43 and 977.11 is: 1,468.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.86 : 2,289.43 = 977.11 : x
  2. Step 2: Convert to fraction form
    1,523.86/2,289.43 = 977.11/x
  3. Step 3: Cross multiply
    1,523.86x = 2,289.43 × 977.11
  4. Step 4: Simplify right side
    1,523.86x = 2,237,020.45
  5. Step 5: Solve for x
    x = 2,237,020.45/1,523.86
  6. Step 6: Final answer
    x = 1,468.00

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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.