Home / 1,582.14-2,373.30-608.16

Finding the Fourth Proportional to 1,582.14, 2,373.30 and 608.16

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Solution

The fourth proportional to 1,582.14, 2,373.30 and 608.16 is: 912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.14 : 2,373.30 = 608.16 : x
  2. Step 2: Convert to fraction form
    1,582.14/2,373.30 = 608.16/x
  3. Step 3: Cross multiply
    1,582.14x = 2,373.30 × 608.16
  4. Step 4: Simplify right side
    1,582.14x = 1,443,346.13
  5. Step 5: Solve for x
    x = 1,443,346.13/1,582.14
  6. Step 6: Final answer
    x = 912.27

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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.