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Finding the Fourth Proportional to 1,641.48, 2,265.16 and 933.32

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Solution

The fourth proportional to 1,641.48, 2,265.16 and 933.32 is: 1,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.48 : 2,265.16 = 933.32 : x
  2. Step 2: Convert to fraction form
    1,641.48/2,265.16 = 933.32/x
  3. Step 3: Cross multiply
    1,641.48x = 2,265.16 × 933.32
  4. Step 4: Simplify right side
    1,641.48x = 2,114,119.13
  5. Step 5: Solve for x
    x = 2,114,119.13/1,641.48
  6. Step 6: Final answer
    x = 1,287.93

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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.