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Finding the Fourth Proportional to 2,341.04, 3,230.70 and 1,409

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Solution

The fourth proportional to 2,341.04, 3,230.70 and 1,409 is: 1,944.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.04 : 3,230.70 = 1,409 : x
  2. Step 2: Convert to fraction form
    2,341.04/3,230.70 = 1,409/x
  3. Step 3: Cross multiply
    2,341.04x = 3,230.70 × 1,409
  4. Step 4: Simplify right side
    2,341.04x = 4,552,056.30
  5. Step 5: Solve for x
    x = 4,552,056.30/2,341.04
  6. Step 6: Final answer
    x = 1,944.46

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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.