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Finding the Fourth Proportional to 1,400.07, 2,100.40 and 412.80

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Solution

The fourth proportional to 1,400.07, 2,100.40 and 412.80 is: 619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.07 : 2,100.40 = 412.80 : x
  2. Step 2: Convert to fraction form
    1,400.07/2,100.40 = 412.80/x
  3. Step 3: Cross multiply
    1,400.07x = 2,100.40 × 412.80
  4. Step 4: Simplify right side
    1,400.07x = 867,045.12
  5. Step 5: Solve for x
    x = 867,045.12/1,400.07
  6. Step 6: Final answer
    x = 619.29

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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.