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Finding the Fourth Proportional to 2,356.10, 3,530.10 and 1,991.60

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Solution

The fourth proportional to 2,356.10, 3,530.10 and 1,991.60 is: 2,983.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.10 : 3,530.10 = 1,991.60 : x
  2. Step 2: Convert to fraction form
    2,356.10/3,530.10 = 1,991.60/x
  3. Step 3: Cross multiply
    2,356.10x = 3,530.10 × 1,991.60
  4. Step 4: Simplify right side
    2,356.10x = 7,030,547.16
  5. Step 5: Solve for x
    x = 7,030,547.16/2,356.10
  6. Step 6: Final answer
    x = 2,983.98

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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.