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Finding the Fourth Proportional to 3,109.51, 4,663.64 and 1,527.57

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Solution

The fourth proportional to 3,109.51, 4,663.64 and 1,527.57 is: 2,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.51 : 4,663.64 = 1,527.57 : x
  2. Step 2: Convert to fraction form
    3,109.51/4,663.64 = 1,527.57/x
  3. Step 3: Cross multiply
    3,109.51x = 4,663.64 × 1,527.57
  4. Step 4: Simplify right side
    3,109.51x = 7,124,040.37
  5. Step 5: Solve for x
    x = 7,124,040.37/3,109.51
  6. Step 6: Final answer
    x = 2,291.05

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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.