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Finding the Fourth Proportional to 1,281.68, 1,922.96 and 1,053.08

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Solution

The fourth proportional to 1,281.68, 1,922.96 and 1,053.08 is: 1,579.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.68 : 1,922.96 = 1,053.08 : x
  2. Step 2: Convert to fraction form
    1,281.68/1,922.96 = 1,053.08/x
  3. Step 3: Cross multiply
    1,281.68x = 1,922.96 × 1,053.08
  4. Step 4: Simplify right side
    1,281.68x = 2,025,030.72
  5. Step 5: Solve for x
    x = 2,025,030.72/1,281.68
  6. Step 6: Final answer
    x = 1,579.98

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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.