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Finding the Fourth Proportional to 1,645.51, 2,271.21 and 1,057.07

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Solution

The fourth proportional to 1,645.51, 2,271.21 and 1,057.07 is: 1,459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.51 : 2,271.21 = 1,057.07 : x
  2. Step 2: Convert to fraction form
    1,645.51/2,271.21 = 1,057.07/x
  3. Step 3: Cross multiply
    1,645.51x = 2,271.21 × 1,057.07
  4. Step 4: Simplify right side
    1,645.51x = 2,400,827.95
  5. Step 5: Solve for x
    x = 2,400,827.95/1,645.51
  6. Step 6: Final answer
    x = 1,459.02

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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.