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Finding the Fourth Proportional to 1,709.91, 2,358.18 and 1,151.01

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Solution

The fourth proportional to 1,709.91, 2,358.18 and 1,151.01 is: 1,587.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.91 : 2,358.18 = 1,151.01 : x
  2. Step 2: Convert to fraction form
    1,709.91/2,358.18 = 1,151.01/x
  3. Step 3: Cross multiply
    1,709.91x = 2,358.18 × 1,151.01
  4. Step 4: Simplify right side
    1,709.91x = 2,714,288.76
  5. Step 5: Solve for x
    x = 2,714,288.76/1,709.91
  6. Step 6: Final answer
    x = 1,587.39

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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.