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Finding the Fourth Proportional to 1,596.48, 2,392.90 and 947.68

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Solution

The fourth proportional to 1,596.48, 2,392.90 and 947.68 is: 1,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.48 : 2,392.90 = 947.68 : x
  2. Step 2: Convert to fraction form
    1,596.48/2,392.90 = 947.68/x
  3. Step 3: Cross multiply
    1,596.48x = 2,392.90 × 947.68
  4. Step 4: Simplify right side
    1,596.48x = 2,267,703.47
  5. Step 5: Solve for x
    x = 2,267,703.47/1,596.48
  6. Step 6: Final answer
    x = 1,420.44

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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.