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Finding the Fourth Proportional to 1,495.81, 2,240.75 and 1,188.19

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Solution

The fourth proportional to 1,495.81, 2,240.75 and 1,188.19 is: 1,779.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.81 : 2,240.75 = 1,188.19 : x
  2. Step 2: Convert to fraction form
    1,495.81/2,240.75 = 1,188.19/x
  3. Step 3: Cross multiply
    1,495.81x = 2,240.75 × 1,188.19
  4. Step 4: Simplify right side
    1,495.81x = 2,662,430.80
  5. Step 5: Solve for x
    x = 2,662,430.80/1,495.81
  6. Step 6: Final answer
    x = 1,779.93

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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.