Home / 1,746.17-2,617.73-706.13

Finding the Fourth Proportional to 1,746.17, 2,617.73 and 706.13

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Solution

The fourth proportional to 1,746.17, 2,617.73 and 706.13 is: 1,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.17 : 2,617.73 = 706.13 : x
  2. Step 2: Convert to fraction form
    1,746.17/2,617.73 = 706.13/x
  3. Step 3: Cross multiply
    1,746.17x = 2,617.73 × 706.13
  4. Step 4: Simplify right side
    1,746.17x = 1,848,457.68
  5. Step 5: Solve for x
    x = 1,848,457.68/1,746.17
  6. Step 6: Final answer
    x = 1,058.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.