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Finding the Fourth Proportional to 1,572.15, 2,169.81 and 1,131.51

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Solution

The fourth proportional to 1,572.15, 2,169.81 and 1,131.51 is: 1,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.15 : 2,169.81 = 1,131.51 : x
  2. Step 2: Convert to fraction form
    1,572.15/2,169.81 = 1,131.51/x
  3. Step 3: Cross multiply
    1,572.15x = 2,169.81 × 1,131.51
  4. Step 4: Simplify right side
    1,572.15x = 2,455,161.71
  5. Step 5: Solve for x
    x = 2,455,161.71/1,572.15
  6. Step 6: Final answer
    x = 1,561.66

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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.