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Finding the Fourth Proportional to 1,547.94, 2,135.62 and 884.32

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Solution

The fourth proportional to 1,547.94, 2,135.62 and 884.32 is: 1,220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.94 : 2,135.62 = 884.32 : x
  2. Step 2: Convert to fraction form
    1,547.94/2,135.62 = 884.32/x
  3. Step 3: Cross multiply
    1,547.94x = 2,135.62 × 884.32
  4. Step 4: Simplify right side
    1,547.94x = 1,888,571.48
  5. Step 5: Solve for x
    x = 1,888,571.48/1,547.94
  6. Step 6: Final answer
    x = 1,220.05

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Why These Related Problems?

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