Home / 1,416.04-2,123.46-549.76

Finding the Fourth Proportional to 1,416.04, 2,123.46 and 549.76

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Solution

The fourth proportional to 1,416.04, 2,123.46 and 549.76 is: 824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.04 : 2,123.46 = 549.76 : x
  2. Step 2: Convert to fraction form
    1,416.04/2,123.46 = 549.76/x
  3. Step 3: Cross multiply
    1,416.04x = 2,123.46 × 549.76
  4. Step 4: Simplify right side
    1,416.04x = 1,167,393.37
  5. Step 5: Solve for x
    x = 1,167,393.37/1,416.04
  6. Step 6: Final answer
    x = 824.41

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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.