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Finding the Fourth Proportional to 1,400.38, 2,100.57 and 374.38

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Solution

The fourth proportional to 1,400.38, 2,100.57 and 374.38 is: 561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.38 : 2,100.57 = 374.38 : x
  2. Step 2: Convert to fraction form
    1,400.38/2,100.57 = 374.38/x
  3. Step 3: Cross multiply
    1,400.38x = 2,100.57 × 374.38
  4. Step 4: Simplify right side
    1,400.38x = 786,411.40
  5. Step 5: Solve for x
    x = 786,411.40/1,400.38
  6. Step 6: Final answer
    x = 561.57

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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.