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Finding the Fourth Proportional to 2,355.70, 3,533.14 and 1,186.22

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Solution

The fourth proportional to 2,355.70, 3,533.14 and 1,186.22 is: 1,779.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.70 : 3,533.14 = 1,186.22 : x
  2. Step 2: Convert to fraction form
    2,355.70/3,533.14 = 1,186.22/x
  3. Step 3: Cross multiply
    2,355.70x = 3,533.14 × 1,186.22
  4. Step 4: Simplify right side
    2,355.70x = 4,191,085.05
  5. Step 5: Solve for x
    x = 4,191,085.05/2,355.70
  6. Step 6: Final answer
    x = 1,779.13

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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.