Home / 1,746.40-2,412.16-1,306.25

Finding the Fourth Proportional to 1,746.40, 2,412.16 and 1,306.25

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Solution

The fourth proportional to 1,746.40, 2,412.16 and 1,306.25 is: 1,804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.40 : 2,412.16 = 1,306.25 : x
  2. Step 2: Convert to fraction form
    1,746.40/2,412.16 = 1,306.25/x
  3. Step 3: Cross multiply
    1,746.40x = 2,412.16 × 1,306.25
  4. Step 4: Simplify right side
    1,746.40x = 3,150,884
  5. Step 5: Solve for x
    x = 3,150,884/1,746.40
  6. Step 6: Final answer
    x = 1,804.22

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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.