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Finding the Fourth Proportional to 1,929.66, 2,894.63 and 955.50

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Solution

The fourth proportional to 1,929.66, 2,894.63 and 955.50 is: 1,433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.66 : 2,894.63 = 955.50 : x
  2. Step 2: Convert to fraction form
    1,929.66/2,894.63 = 955.50/x
  3. Step 3: Cross multiply
    1,929.66x = 2,894.63 × 955.50
  4. Step 4: Simplify right side
    1,929.66x = 2,765,814.19
  5. Step 5: Solve for x
    x = 2,765,814.19/1,929.66
  6. Step 6: Final answer
    x = 1,433.32

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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.