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Finding the Fourth Proportional to 1,571.34, 2,352.90 and 1,106.60

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Solution

The fourth proportional to 1,571.34, 2,352.90 and 1,106.60 is: 1,657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.34 : 2,352.90 = 1,106.60 : x
  2. Step 2: Convert to fraction form
    1,571.34/2,352.90 = 1,106.60/x
  3. Step 3: Cross multiply
    1,571.34x = 2,352.90 × 1,106.60
  4. Step 4: Simplify right side
    1,571.34x = 2,603,707.38
  5. Step 5: Solve for x
    x = 2,603,707.38/1,571.34
  6. Step 6: Final answer
    x = 1,657.00

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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.