Home / 1,416.24-2,123.80-594.08

Finding the Fourth Proportional to 1,416.24, 2,123.80 and 594.08

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Solution

The fourth proportional to 1,416.24, 2,123.80 and 594.08 is: 890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.24 : 2,123.80 = 594.08 : x
  2. Step 2: Convert to fraction form
    1,416.24/2,123.80 = 594.08/x
  3. Step 3: Cross multiply
    1,416.24x = 2,123.80 × 594.08
  4. Step 4: Simplify right side
    1,416.24x = 1,261,707.10
  5. Step 5: Solve for x
    x = 1,261,707.10/1,416.24
  6. Step 6: Final answer
    x = 890.89

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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.