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Finding the Fourth Proportional to 3,053.54, 4,581.02 and 1,298.64

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Solution

The fourth proportional to 3,053.54, 4,581.02 and 1,298.64 is: 1,948.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.54 : 4,581.02 = 1,298.64 : x
  2. Step 2: Convert to fraction form
    3,053.54/4,581.02 = 1,298.64/x
  3. Step 3: Cross multiply
    3,053.54x = 4,581.02 × 1,298.64
  4. Step 4: Simplify right side
    3,053.54x = 5,949,095.81
  5. Step 5: Solve for x
    x = 5,949,095.81/3,053.54
  6. Step 6: Final answer
    x = 1,948.26

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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.