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Finding the Fourth Proportional to 2,701.58, 4,051.38 and 946.10

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Solution

The fourth proportional to 2,701.58, 4,051.38 and 946.10 is: 1,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.58 : 4,051.38 = 946.10 : x
  2. Step 2: Convert to fraction form
    2,701.58/4,051.38 = 946.10/x
  3. Step 3: Cross multiply
    2,701.58x = 4,051.38 × 946.10
  4. Step 4: Simplify right side
    2,701.58x = 3,832,990.36
  5. Step 5: Solve for x
    x = 3,832,990.36/2,701.58
  6. Step 6: Final answer
    x = 1,418.80

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1.5x scale

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.