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Finding the Fourth Proportional to 2,410.80, 3,326.12 and 1,416.32

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Solution

The fourth proportional to 2,410.80, 3,326.12 and 1,416.32 is: 1,954.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.80 : 3,326.12 = 1,416.32 : x
  2. Step 2: Convert to fraction form
    2,410.80/3,326.12 = 1,416.32/x
  3. Step 3: Cross multiply
    2,410.80x = 3,326.12 × 1,416.32
  4. Step 4: Simplify right side
    2,410.80x = 4,710,862.13
  5. Step 5: Solve for x
    x = 4,710,862.13/2,410.80
  6. Step 6: Final answer
    x = 1,954.07

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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.