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Finding the Fourth Proportional to 1,573.32, 2,170.74 and 910.08

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Solution

The fourth proportional to 1,573.32, 2,170.74 and 910.08 is: 1,255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.32 : 2,170.74 = 910.08 : x
  2. Step 2: Convert to fraction form
    1,573.32/2,170.74 = 910.08/x
  3. Step 3: Cross multiply
    1,573.32x = 2,170.74 × 910.08
  4. Step 4: Simplify right side
    1,573.32x = 1,975,547.06
  5. Step 5: Solve for x
    x = 1,975,547.06/1,573.32
  6. Step 6: Final answer
    x = 1,255.65

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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.