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Finding the Fourth Proportional to 3,073.90, 4,610.88 and 1,430.00

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Solution

The fourth proportional to 3,073.90, 4,610.88 and 1,430.00 is: 2,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.90 : 4,610.88 = 1,430.00 : x
  2. Step 2: Convert to fraction form
    3,073.90/4,610.88 = 1,430.00/x
  3. Step 3: Cross multiply
    3,073.90x = 4,610.88 × 1,430.00
  4. Step 4: Simplify right side
    3,073.90x = 6,593,569.93
  5. Step 5: Solve for x
    x = 6,593,569.93/3,073.90
  6. Step 6: Final answer
    x = 2,145.02

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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.