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Finding the Fourth Proportional to 1,574.21, 2,360.64 and 1,328.78

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Solution

The fourth proportional to 1,574.21, 2,360.64 and 1,328.78 is: 1,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.21 : 2,360.64 = 1,328.78 : x
  2. Step 2: Convert to fraction form
    1,574.21/2,360.64 = 1,328.78/x
  3. Step 3: Cross multiply
    1,574.21x = 2,360.64 × 1,328.78
  4. Step 4: Simplify right side
    1,574.21x = 3,136,771.22
  5. Step 5: Solve for x
    x = 3,136,771.22/1,574.21
  6. Step 6: Final answer
    x = 1,992.60

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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.