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Finding the Fourth Proportional to 1,415.75, 2,124.47 and 1,008.27

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Solution

The fourth proportional to 1,415.75, 2,124.47 and 1,008.27 is: 1,513.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.75 : 2,124.47 = 1,008.27 : x
  2. Step 2: Convert to fraction form
    1,415.75/2,124.47 = 1,008.27/x
  3. Step 3: Cross multiply
    1,415.75x = 2,124.47 × 1,008.27
  4. Step 4: Simplify right side
    1,415.75x = 2,142,041.89
  5. Step 5: Solve for x
    x = 2,142,041.89/1,415.75
  6. Step 6: Final answer
    x = 1,513.01

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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.