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Finding the Fourth Proportional to 1,783.29, 2,460.92 and 1,075.53

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Solution

The fourth proportional to 1,783.29, 2,460.92 and 1,075.53 is: 1,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.29 : 2,460.92 = 1,075.53 : x
  2. Step 2: Convert to fraction form
    1,783.29/2,460.92 = 1,075.53/x
  3. Step 3: Cross multiply
    1,783.29x = 2,460.92 × 1,075.53
  4. Step 4: Simplify right side
    1,783.29x = 2,646,787.91
  5. Step 5: Solve for x
    x = 2,646,787.91/1,783.29
  6. Step 6: Final answer
    x = 1,484.22

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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.