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Finding the Fourth Proportional to 1,762.30, 2,643.29 and 1,068.76

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Solution

The fourth proportional to 1,762.30, 2,643.29 and 1,068.76 is: 1,603.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.30 : 2,643.29 = 1,068.76 : x
  2. Step 2: Convert to fraction form
    1,762.30/2,643.29 = 1,068.76/x
  3. Step 3: Cross multiply
    1,762.30x = 2,643.29 × 1,068.76
  4. Step 4: Simplify right side
    1,762.30x = 2,825,024.06
  5. Step 5: Solve for x
    x = 2,825,024.06/1,762.30
  6. Step 6: Final answer
    x = 1,603.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.