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Finding the Fourth Proportional to 1,495.17, 2,238.62 and 761.18

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Solution

The fourth proportional to 1,495.17, 2,238.62 and 761.18 is: 1,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.17 : 2,238.62 = 761.18 : x
  2. Step 2: Convert to fraction form
    1,495.17/2,238.62 = 761.18/x
  3. Step 3: Cross multiply
    1,495.17x = 2,238.62 × 761.18
  4. Step 4: Simplify right side
    1,495.17x = 1,703,977.77
  5. Step 5: Solve for x
    x = 1,703,977.77/1,495.17
  6. Step 6: Final answer
    x = 1,139.65

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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.