Home / 1,582.86-2,374.29-609.06

Finding the Fourth Proportional to 1,582.86, 2,374.29 and 609.06

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Solution

The fourth proportional to 1,582.86, 2,374.29 and 609.06 is: 913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.86 : 2,374.29 = 609.06 : x
  2. Step 2: Convert to fraction form
    1,582.86/2,374.29 = 609.06/x
  3. Step 3: Cross multiply
    1,582.86x = 2,374.29 × 609.06
  4. Step 4: Simplify right side
    1,582.86x = 1,446,085.07
  5. Step 5: Solve for x
    x = 1,446,085.07/1,582.86
  6. Step 6: Final answer
    x = 913.59

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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.