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Finding the Fourth Proportional to 1,410.36, 1,946.07 and 886.02

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Solution

The fourth proportional to 1,410.36, 1,946.07 and 886.02 is: 1,222.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.36 : 1,946.07 = 886.02 : x
  2. Step 2: Convert to fraction form
    1,410.36/1,946.07 = 886.02/x
  3. Step 3: Cross multiply
    1,410.36x = 1,946.07 × 886.02
  4. Step 4: Simplify right side
    1,410.36x = 1,724,256.94
  5. Step 5: Solve for x
    x = 1,724,256.94/1,410.36
  6. Step 6: Final answer
    x = 1,222.57

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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.