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Finding the Fourth Proportional to 1,594.14, 2,389.47 and 670.20

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Solution

The fourth proportional to 1,594.14, 2,389.47 and 670.20 is: 1,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.14 : 2,389.47 = 670.20 : x
  2. Step 2: Convert to fraction form
    1,594.14/2,389.47 = 670.20/x
  3. Step 3: Cross multiply
    1,594.14x = 2,389.47 × 670.20
  4. Step 4: Simplify right side
    1,594.14x = 1,601,422.79
  5. Step 5: Solve for x
    x = 1,601,422.79/1,594.14
  6. Step 6: Final answer
    x = 1,004.57

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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.