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Finding the Fourth Proportional to 1,301.86, 1,950.54 and 934.84

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Solution

The fourth proportional to 1,301.86, 1,950.54 and 934.84 is: 1,400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.86 : 1,950.54 = 934.84 : x
  2. Step 2: Convert to fraction form
    1,301.86/1,950.54 = 934.84/x
  3. Step 3: Cross multiply
    1,301.86x = 1,950.54 × 934.84
  4. Step 4: Simplify right side
    1,301.86x = 1,823,442.81
  5. Step 5: Solve for x
    x = 1,823,442.81/1,301.86
  6. Step 6: Final answer
    x = 1,400.64

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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.