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Finding the Fourth Proportional to 1,812.93, 2,501.61 and 1,148.61

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Solution

The fourth proportional to 1,812.93, 2,501.61 and 1,148.61 is: 1,584.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.93 : 2,501.61 = 1,148.61 : x
  2. Step 2: Convert to fraction form
    1,812.93/2,501.61 = 1,148.61/x
  3. Step 3: Cross multiply
    1,812.93x = 2,501.61 × 1,148.61
  4. Step 4: Simplify right side
    1,812.93x = 2,873,368.52
  5. Step 5: Solve for x
    x = 2,873,368.52/1,812.93
  6. Step 6: Final answer
    x = 1,584.93

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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.