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Finding the Fourth Proportional to 2,053.48, 3,065.42 and 1,907.68

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Solution

The fourth proportional to 2,053.48, 3,065.42 and 1,907.68 is: 2,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.48 : 3,065.42 = 1,907.68 : x
  2. Step 2: Convert to fraction form
    2,053.48/3,065.42 = 1,907.68/x
  3. Step 3: Cross multiply
    2,053.48x = 3,065.42 × 1,907.68
  4. Step 4: Simplify right side
    2,053.48x = 5,847,840.43
  5. Step 5: Solve for x
    x = 5,847,840.43/2,053.48
  6. Step 6: Final answer
    x = 2,847.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.