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Finding the Fourth Proportional to 1,670.13, 2,498.04 and 975.06

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Solution

The fourth proportional to 1,670.13, 2,498.04 and 975.06 is: 1,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.13 : 2,498.04 = 975.06 : x
  2. Step 2: Convert to fraction form
    1,670.13/2,498.04 = 975.06/x
  3. Step 3: Cross multiply
    1,670.13x = 2,498.04 × 975.06
  4. Step 4: Simplify right side
    1,670.13x = 2,435,738.88
  5. Step 5: Solve for x
    x = 2,435,738.88/1,670.13
  6. Step 6: Final answer
    x = 1,458.41

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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.