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Finding the Fourth Proportional to 1,409.55, 1,943.89 and 1,210.32

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Solution

The fourth proportional to 1,409.55, 1,943.89 and 1,210.32 is: 1,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.55 : 1,943.89 = 1,210.32 : x
  2. Step 2: Convert to fraction form
    1,409.55/1,943.89 = 1,210.32/x
  3. Step 3: Cross multiply
    1,409.55x = 1,943.89 × 1,210.32
  4. Step 4: Simplify right side
    1,409.55x = 2,352,727.95
  5. Step 5: Solve for x
    x = 2,352,727.95/1,409.55
  6. Step 6: Final answer
    x = 1,669.14

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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.