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Finding the Fourth Proportional to 1,495.43, 2,065.64 and 1,139.18

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Solution

The fourth proportional to 1,495.43, 2,065.64 and 1,139.18 is: 1,573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.43 : 2,065.64 = 1,139.18 : x
  2. Step 2: Convert to fraction form
    1,495.43/2,065.64 = 1,139.18/x
  3. Step 3: Cross multiply
    1,495.43x = 2,065.64 × 1,139.18
  4. Step 4: Simplify right side
    1,495.43x = 2,353,131.37
  5. Step 5: Solve for x
    x = 2,353,131.37/1,495.43
  6. Step 6: Final answer
    x = 1,573.55

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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.