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Finding the Fourth Proportional to 1,929.50, 2,894.74 and 561.50

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Solution

The fourth proportional to 1,929.50, 2,894.74 and 561.50 is: 842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.50 : 2,894.74 = 561.50 : x
  2. Step 2: Convert to fraction form
    1,929.50/2,894.74 = 561.50/x
  3. Step 3: Cross multiply
    1,929.50x = 2,894.74 × 561.50
  4. Step 4: Simplify right side
    1,929.50x = 1,625,396.51
  5. Step 5: Solve for x
    x = 1,625,396.51/1,929.50
  6. Step 6: Final answer
    x = 842.39

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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.