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Finding the Fourth Proportional to 1,649.08, 2,277.11 and 1,530.37

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Solution

The fourth proportional to 1,649.08, 2,277.11 and 1,530.37 is: 2,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.08 : 2,277.11 = 1,530.37 : x
  2. Step 2: Convert to fraction form
    1,649.08/2,277.11 = 1,530.37/x
  3. Step 3: Cross multiply
    1,649.08x = 2,277.11 × 1,530.37
  4. Step 4: Simplify right side
    1,649.08x = 3,484,820.83
  5. Step 5: Solve for x
    x = 3,484,820.83/1,649.08
  6. Step 6: Final answer
    x = 2,113.19

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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.