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Finding the Fourth Proportional to 1,854.68, 2,553.63 and 1,574.36

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Solution

The fourth proportional to 1,854.68, 2,553.63 and 1,574.36 is: 2,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.68 : 2,553.63 = 1,574.36 : x
  2. Step 2: Convert to fraction form
    1,854.68/2,553.63 = 1,574.36/x
  3. Step 3: Cross multiply
    1,854.68x = 2,553.63 × 1,574.36
  4. Step 4: Simplify right side
    1,854.68x = 4,020,332.93
  5. Step 5: Solve for x
    x = 4,020,332.93/1,854.68
  6. Step 6: Final answer
    x = 2,167.67

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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.