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Finding the Fourth Proportional to 1,552.70, 2,330.27 and 1,370.46

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Solution

The fourth proportional to 1,552.70, 2,330.27 and 1,370.46 is: 2,056.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.70 : 2,330.27 = 1,370.46 : x
  2. Step 2: Convert to fraction form
    1,552.70/2,330.27 = 1,370.46/x
  3. Step 3: Cross multiply
    1,552.70x = 2,330.27 × 1,370.46
  4. Step 4: Simplify right side
    1,552.70x = 3,193,541.82
  5. Step 5: Solve for x
    x = 3,193,541.82/1,552.70
  6. Step 6: Final answer
    x = 2,056.77

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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.