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Finding the Fourth Proportional to 1,415.94, 2,114.37 and 1,156.45

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Solution

The fourth proportional to 1,415.94, 2,114.37 and 1,156.45 is: 1,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.94 : 2,114.37 = 1,156.45 : x
  2. Step 2: Convert to fraction form
    1,415.94/2,114.37 = 1,156.45/x
  3. Step 3: Cross multiply
    1,415.94x = 2,114.37 × 1,156.45
  4. Step 4: Simplify right side
    1,415.94x = 2,445,157.40
  5. Step 5: Solve for x
    x = 2,445,157.40/1,415.94
  6. Step 6: Final answer
    x = 1,726.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.