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Finding the Fourth Proportional to 1,341.84, 1,852.23 and 810.75

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Solution

The fourth proportional to 1,341.84, 1,852.23 and 810.75 is: 1,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.84 : 1,852.23 = 810.75 : x
  2. Step 2: Convert to fraction form
    1,341.84/1,852.23 = 810.75/x
  3. Step 3: Cross multiply
    1,341.84x = 1,852.23 × 810.75
  4. Step 4: Simplify right side
    1,341.84x = 1,501,695.47
  5. Step 5: Solve for x
    x = 1,501,695.47/1,341.84
  6. Step 6: Final answer
    x = 1,119.13

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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.