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Finding the Fourth Proportional to 2,374.47, 3,562.16 and 1,075.94

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Solution

The fourth proportional to 2,374.47, 3,562.16 and 1,075.94 is: 1,614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.47 : 3,562.16 = 1,075.94 : x
  2. Step 2: Convert to fraction form
    2,374.47/3,562.16 = 1,075.94/x
  3. Step 3: Cross multiply
    2,374.47x = 3,562.16 × 1,075.94
  4. Step 4: Simplify right side
    2,374.47x = 3,832,670.43
  5. Step 5: Solve for x
    x = 3,832,670.43/2,374.47
  6. Step 6: Final answer
    x = 1,614.12

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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.