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Finding the Fourth Proportional to 1,431.90, 2,147.85 and 392.00

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Solution

The fourth proportional to 1,431.90, 2,147.85 and 392.00 is: 587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.90 : 2,147.85 = 392.00 : x
  2. Step 2: Convert to fraction form
    1,431.90/2,147.85 = 392.00/x
  3. Step 3: Cross multiply
    1,431.90x = 2,147.85 × 392.00
  4. Step 4: Simplify right side
    1,431.90x = 841,946.46
  5. Step 5: Solve for x
    x = 841,946.46/1,431.90
  6. Step 6: Final answer
    x = 587.99

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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.