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Finding the Fourth Proportional to 2,649.76, 3,656.05 and 1,530.48

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Solution

The fourth proportional to 2,649.76, 3,656.05 and 1,530.48 is: 2,111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.76 : 3,656.05 = 1,530.48 : x
  2. Step 2: Convert to fraction form
    2,649.76/3,656.05 = 1,530.48/x
  3. Step 3: Cross multiply
    2,649.76x = 3,656.05 × 1,530.48
  4. Step 4: Simplify right side
    2,649.76x = 5,595,521.29
  5. Step 5: Solve for x
    x = 5,595,521.29/2,649.76
  6. Step 6: Final answer
    x = 2,111.71

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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.