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Finding the Fourth Proportional to 1,746.36, 2,409.94 and 960.39

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Solution

The fourth proportional to 1,746.36, 2,409.94 and 960.39 is: 1,325.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.36 : 2,409.94 = 960.39 : x
  2. Step 2: Convert to fraction form
    1,746.36/2,409.94 = 960.39/x
  3. Step 3: Cross multiply
    1,746.36x = 2,409.94 × 960.39
  4. Step 4: Simplify right side
    1,746.36x = 2,314,482.28
  5. Step 5: Solve for x
    x = 2,314,482.28/1,746.36
  6. Step 6: Final answer
    x = 1,325.32

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1.5x scale

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.