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Finding the Fourth Proportional to 1,415.61, 1,952.37 and 1,084.77

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Solution

The fourth proportional to 1,415.61, 1,952.37 and 1,084.77 is: 1,496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.61 : 1,952.37 = 1,084.77 : x
  2. Step 2: Convert to fraction form
    1,415.61/1,952.37 = 1,084.77/x
  3. Step 3: Cross multiply
    1,415.61x = 1,952.37 × 1,084.77
  4. Step 4: Simplify right side
    1,415.61x = 2,117,872.40
  5. Step 5: Solve for x
    x = 2,117,872.40/1,415.61
  6. Step 6: Final answer
    x = 1,496.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.