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Finding the Fourth Proportional to 2,752.96, 3,804.54 and 2,254.81

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Solution

The fourth proportional to 2,752.96, 3,804.54 and 2,254.81 is: 3,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.96 : 3,804.54 = 2,254.81 : x
  2. Step 2: Convert to fraction form
    2,752.96/3,804.54 = 2,254.81/x
  3. Step 3: Cross multiply
    2,752.96x = 3,804.54 × 2,254.81
  4. Step 4: Simplify right side
    2,752.96x = 8,578,495.81
  5. Step 5: Solve for x
    x = 8,578,495.81/2,752.96
  6. Step 6: Final answer
    x = 3,116.10

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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.