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Finding the Fourth Proportional to 1,547.76, 2,135.97 and 884.67

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Solution

The fourth proportional to 1,547.76, 2,135.97 and 884.67 is: 1,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.76 : 2,135.97 = 884.67 : x
  2. Step 2: Convert to fraction form
    1,547.76/2,135.97 = 884.67/x
  3. Step 3: Cross multiply
    1,547.76x = 2,135.97 × 884.67
  4. Step 4: Simplify right side
    1,547.76x = 1,889,628.58
  5. Step 5: Solve for x
    x = 1,889,628.58/1,547.76
  6. Step 6: Final answer
    x = 1,220.88

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1.5x scale

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.