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Finding the Fourth Proportional to 1,496.86, 2,064.90 and 875.50

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Solution

The fourth proportional to 1,496.86, 2,064.90 and 875.50 is: 1,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.86 : 2,064.90 = 875.50 : x
  2. Step 2: Convert to fraction form
    1,496.86/2,064.90 = 875.50/x
  3. Step 3: Cross multiply
    1,496.86x = 2,064.90 × 875.50
  4. Step 4: Simplify right side
    1,496.86x = 1,807,819.95
  5. Step 5: Solve for x
    x = 1,807,819.95/1,496.86
  6. Step 6: Final answer
    x = 1,207.74

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