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Finding the Fourth Proportional to 1,858.32, 2,549.25 and 1,746.54

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Solution

The fourth proportional to 1,858.32, 2,549.25 and 1,746.54 is: 2,395.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.32 : 2,549.25 = 1,746.54 : x
  2. Step 2: Convert to fraction form
    1,858.32/2,549.25 = 1,746.54/x
  3. Step 3: Cross multiply
    1,858.32x = 2,549.25 × 1,746.54
  4. Step 4: Simplify right side
    1,858.32x = 4,452,367.10
  5. Step 5: Solve for x
    x = 4,452,367.10/1,858.32
  6. Step 6: Final answer
    x = 2,395.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.