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Finding the Fourth Proportional to 4,648.16, 6,970.88 and 1,726

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Solution

The fourth proportional to 4,648.16, 6,970.88 and 1,726 is: 2,588.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.16 : 6,970.88 = 1,726 : x
  2. Step 2: Convert to fraction form
    4,648.16/6,970.88 = 1,726/x
  3. Step 3: Cross multiply
    4,648.16x = 6,970.88 × 1,726
  4. Step 4: Simplify right side
    4,648.16x = 12,031,738.88
  5. Step 5: Solve for x
    x = 12,031,738.88/4,648.16
  6. Step 6: Final answer
    x = 2,588.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.