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Finding the Fourth Proportional to 1,528.64, 2,112 and 1,064.96

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Solution

The fourth proportional to 1,528.64, 2,112 and 1,064.96 is: 1,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.64 : 2,112 = 1,064.96 : x
  2. Step 2: Convert to fraction form
    1,528.64/2,112 = 1,064.96/x
  3. Step 3: Cross multiply
    1,528.64x = 2,112 × 1,064.96
  4. Step 4: Simplify right side
    1,528.64x = 2,249,195.52
  5. Step 5: Solve for x
    x = 2,249,195.52/1,528.64
  6. Step 6: Final answer
    x = 1,471.37

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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.