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Finding the Fourth Proportional to 3,001.64, 4,502.86 and 1,053.58

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Solution

The fourth proportional to 3,001.64, 4,502.86 and 1,053.58 is: 1,580.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.64 : 4,502.86 = 1,053.58 : x
  2. Step 2: Convert to fraction form
    3,001.64/4,502.86 = 1,053.58/x
  3. Step 3: Cross multiply
    3,001.64x = 4,502.86 × 1,053.58
  4. Step 4: Simplify right side
    3,001.64x = 4,744,123.24
  5. Step 5: Solve for x
    x = 4,744,123.24/3,001.64
  6. Step 6: Final answer
    x = 1,580.51

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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.