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Finding the Fourth Proportional to 2,317.95, 3,477.06 and 757.26

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Solution

The fourth proportional to 2,317.95, 3,477.06 and 757.26 is: 1,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.95 : 3,477.06 = 757.26 : x
  2. Step 2: Convert to fraction form
    2,317.95/3,477.06 = 757.26/x
  3. Step 3: Cross multiply
    2,317.95x = 3,477.06 × 757.26
  4. Step 4: Simplify right side
    2,317.95x = 2,633,038.46
  5. Step 5: Solve for x
    x = 2,633,038.46/2,317.95
  6. Step 6: Final answer
    x = 1,135.93

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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.