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Finding the Fourth Proportional to 1,417.05, 2,124.75 and 550.35

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Solution

The fourth proportional to 1,417.05, 2,124.75 and 550.35 is: 825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.05 : 2,124.75 = 550.35 : x
  2. Step 2: Convert to fraction form
    1,417.05/2,124.75 = 550.35/x
  3. Step 3: Cross multiply
    1,417.05x = 2,124.75 × 550.35
  4. Step 4: Simplify right side
    1,417.05x = 1,169,356.16
  5. Step 5: Solve for x
    x = 1,169,356.16/1,417.05
  6. Step 6: Final answer
    x = 825.20

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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.