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Finding the Fourth Proportional to 1,551.86, 2,325.33 and 934.76

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Solution

The fourth proportional to 1,551.86, 2,325.33 and 934.76 is: 1,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.86 : 2,325.33 = 934.76 : x
  2. Step 2: Convert to fraction form
    1,551.86/2,325.33 = 934.76/x
  3. Step 3: Cross multiply
    1,551.86x = 2,325.33 × 934.76
  4. Step 4: Simplify right side
    1,551.86x = 2,173,625.47
  5. Step 5: Solve for x
    x = 2,173,625.47/1,551.86
  6. Step 6: Final answer
    x = 1,400.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.