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Finding the Fourth Proportional to 1,746.48, 2,410.11 and 960.51

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Solution

The fourth proportional to 1,746.48, 2,410.11 and 960.51 is: 1,325.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.48 : 2,410.11 = 960.51 : x
  2. Step 2: Convert to fraction form
    1,746.48/2,410.11 = 960.51/x
  3. Step 3: Cross multiply
    1,746.48x = 2,410.11 × 960.51
  4. Step 4: Simplify right side
    1,746.48x = 2,314,934.76
  5. Step 5: Solve for x
    x = 2,314,934.76/1,746.48
  6. Step 6: Final answer
    x = 1,325.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.