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Finding the Fourth Proportional to 1,970.61, 2,953.23 and 1,091.80

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Solution

The fourth proportional to 1,970.61, 2,953.23 and 1,091.80 is: 1,636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.61 : 2,953.23 = 1,091.80 : x
  2. Step 2: Convert to fraction form
    1,970.61/2,953.23 = 1,091.80/x
  3. Step 3: Cross multiply
    1,970.61x = 2,953.23 × 1,091.80
  4. Step 4: Simplify right side
    1,970.61x = 3,224,336.51
  5. Step 5: Solve for x
    x = 3,224,336.51/1,970.61
  6. Step 6: Final answer
    x = 1,636.21

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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.