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Finding the Fourth Proportional to 1,852.47, 2,553.73 and 1,409.60

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Solution

The fourth proportional to 1,852.47, 2,553.73 and 1,409.60 is: 1,943.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.47 : 2,553.73 = 1,409.60 : x
  2. Step 2: Convert to fraction form
    1,852.47/2,553.73 = 1,409.60/x
  3. Step 3: Cross multiply
    1,852.47x = 2,553.73 × 1,409.60
  4. Step 4: Simplify right side
    1,852.47x = 3,599,740.67
  5. Step 5: Solve for x
    x = 3,599,740.67/1,852.47
  6. Step 6: Final answer
    x = 1,943.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.