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Finding the Fourth Proportional to 2,656.18, 3,665.53 and 1,477.48

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Solution

The fourth proportional to 2,656.18, 3,665.53 and 1,477.48 is: 2,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.18 : 3,665.53 = 1,477.48 : x
  2. Step 2: Convert to fraction form
    2,656.18/3,665.53 = 1,477.48/x
  3. Step 3: Cross multiply
    2,656.18x = 3,665.53 × 1,477.48
  4. Step 4: Simplify right side
    2,656.18x = 5,415,728.94
  5. Step 5: Solve for x
    x = 5,415,728.94/2,656.18
  6. Step 6: Final answer
    x = 2,038.92

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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.