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Finding the Fourth Proportional to 1,931.86, 2,897.78 and 471.02

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Solution

The fourth proportional to 1,931.86, 2,897.78 and 471.02 is: 706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.86 : 2,897.78 = 471.02 : x
  2. Step 2: Convert to fraction form
    1,931.86/2,897.78 = 471.02/x
  3. Step 3: Cross multiply
    1,931.86x = 2,897.78 × 471.02
  4. Step 4: Simplify right side
    1,931.86x = 1,364,912.34
  5. Step 5: Solve for x
    x = 1,364,912.34/1,931.86
  6. Step 6: Final answer
    x = 706.53

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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.