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Finding the Fourth Proportional to 2,132.99, 3,197.77 and 1,430.93

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Solution

The fourth proportional to 2,132.99, 3,197.77 and 1,430.93 is: 2,145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.99 : 3,197.77 = 1,430.93 : x
  2. Step 2: Convert to fraction form
    2,132.99/3,197.77 = 1,430.93/x
  3. Step 3: Cross multiply
    2,132.99x = 3,197.77 × 1,430.93
  4. Step 4: Simplify right side
    2,132.99x = 4,575,793.47
  5. Step 5: Solve for x
    x = 4,575,793.47/2,132.99
  6. Step 6: Final answer
    x = 2,145.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.