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Finding the Fourth Proportional to 1,746.41, 2,395.28 and 1,549.58

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Solution

The fourth proportional to 1,746.41, 2,395.28 and 1,549.58 is: 2,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.41 : 2,395.28 = 1,549.58 : x
  2. Step 2: Convert to fraction form
    1,746.41/2,395.28 = 1,549.58/x
  3. Step 3: Cross multiply
    1,746.41x = 2,395.28 × 1,549.58
  4. Step 4: Simplify right side
    1,746.41x = 3,711,668.12
  5. Step 5: Solve for x
    x = 3,711,668.12/1,746.41
  6. Step 6: Final answer
    x = 2,125.32

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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.