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Finding the Fourth Proportional to 1,397.86, 1,928.51 and 874.19

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Solution

The fourth proportional to 1,397.86, 1,928.51 and 874.19 is: 1,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.86 : 1,928.51 = 874.19 : x
  2. Step 2: Convert to fraction form
    1,397.86/1,928.51 = 874.19/x
  3. Step 3: Cross multiply
    1,397.86x = 1,928.51 × 874.19
  4. Step 4: Simplify right side
    1,397.86x = 1,685,887.89
  5. Step 5: Solve for x
    x = 1,685,887.89/1,397.86
  6. Step 6: Final answer
    x = 1,206.05

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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.