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Finding the Fourth Proportional to 1,915.02, 2,642.67 and 1,075.73

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Solution

The fourth proportional to 1,915.02, 2,642.67 and 1,075.73 is: 1,484.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.02 : 2,642.67 = 1,075.73 : x
  2. Step 2: Convert to fraction form
    1,915.02/2,642.67 = 1,075.73/x
  3. Step 3: Cross multiply
    1,915.02x = 2,642.67 × 1,075.73
  4. Step 4: Simplify right side
    1,915.02x = 2,842,786.19
  5. Step 5: Solve for x
    x = 2,842,786.19/1,915.02
  6. Step 6: Final answer
    x = 1,484.47

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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.