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Finding the Fourth Proportional to 2,477.18, 3,710.99 and 1,695.33

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Solution

The fourth proportional to 2,477.18, 3,710.99 and 1,695.33 is: 2,539.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.18 : 3,710.99 = 1,695.33 : x
  2. Step 2: Convert to fraction form
    2,477.18/3,710.99 = 1,695.33/x
  3. Step 3: Cross multiply
    2,477.18x = 3,710.99 × 1,695.33
  4. Step 4: Simplify right side
    2,477.18x = 6,291,352.15
  5. Step 5: Solve for x
    x = 6,291,352.15/2,477.18
  6. Step 6: Final answer
    x = 2,539.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.