Home / 1,457.21-2,181.93-837.76

Finding the Fourth Proportional to 1,457.21, 2,181.93 and 837.76

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Solution

The fourth proportional to 1,457.21, 2,181.93 and 837.76 is: 1,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.21 : 2,181.93 = 837.76 : x
  2. Step 2: Convert to fraction form
    1,457.21/2,181.93 = 837.76/x
  3. Step 3: Cross multiply
    1,457.21x = 2,181.93 × 837.76
  4. Step 4: Simplify right side
    1,457.21x = 1,827,933.68
  5. Step 5: Solve for x
    x = 1,827,933.68/1,457.21
  6. Step 6: Final answer
    x = 1,254.41

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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.