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Finding the Fourth Proportional to 2,130.60, 3,197.52 and 1,156.98

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Solution

The fourth proportional to 2,130.60, 3,197.52 and 1,156.98 is: 1,736.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.60 : 3,197.52 = 1,156.98 : x
  2. Step 2: Convert to fraction form
    2,130.60/3,197.52 = 1,156.98/x
  3. Step 3: Cross multiply
    2,130.60x = 3,197.52 × 1,156.98
  4. Step 4: Simplify right side
    2,130.60x = 3,699,466.69
  5. Step 5: Solve for x
    x = 3,699,466.69/2,130.60
  6. Step 6: Final answer
    x = 1,736.35

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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.