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Finding the Fourth Proportional to 1,415.86, 1,952.67 and 918.01

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Solution

The fourth proportional to 1,415.86, 1,952.67 and 918.01 is: 1,266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.86 : 1,952.67 = 918.01 : x
  2. Step 2: Convert to fraction form
    1,415.86/1,952.67 = 918.01/x
  3. Step 3: Cross multiply
    1,415.86x = 1,952.67 × 918.01
  4. Step 4: Simplify right side
    1,415.86x = 1,792,570.59
  5. Step 5: Solve for x
    x = 1,792,570.59/1,415.86
  6. Step 6: Final answer
    x = 1,266.06

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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.