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Finding the Fourth Proportional to 1,435.74, 2,155.05 and 1,114.62

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Solution

The fourth proportional to 1,435.74, 2,155.05 and 1,114.62 is: 1,673.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.74 : 2,155.05 = 1,114.62 : x
  2. Step 2: Convert to fraction form
    1,435.74/2,155.05 = 1,114.62/x
  3. Step 3: Cross multiply
    1,435.74x = 2,155.05 × 1,114.62
  4. Step 4: Simplify right side
    1,435.74x = 2,402,061.83
  5. Step 5: Solve for x
    x = 2,402,061.83/1,435.74
  6. Step 6: Final answer
    x = 1,673.05

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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.