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Finding the Fourth Proportional to 2,357.91, 3,532.95 and 1,430.64

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Solution

The fourth proportional to 2,357.91, 3,532.95 and 1,430.64 is: 2,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.91 : 3,532.95 = 1,430.64 : x
  2. Step 2: Convert to fraction form
    2,357.91/3,532.95 = 1,430.64/x
  3. Step 3: Cross multiply
    2,357.91x = 3,532.95 × 1,430.64
  4. Step 4: Simplify right side
    2,357.91x = 5,054,379.59
  5. Step 5: Solve for x
    x = 5,054,379.59/2,357.91
  6. Step 6: Final answer
    x = 2,143.58

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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.