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Finding the Fourth Proportional to 1,953.02, 2,693.10 and 1,454.84

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Solution

The fourth proportional to 1,953.02, 2,693.10 and 1,454.84 is: 2,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.02 : 2,693.10 = 1,454.84 : x
  2. Step 2: Convert to fraction form
    1,953.02/2,693.10 = 1,454.84/x
  3. Step 3: Cross multiply
    1,953.02x = 2,693.10 × 1,454.84
  4. Step 4: Simplify right side
    1,953.02x = 3,918,029.60
  5. Step 5: Solve for x
    x = 3,918,029.60/1,953.02
  6. Step 6: Final answer
    x = 2,006.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.