Home / 1,582.32-2,373.48-428.07

Finding the Fourth Proportional to 1,582.32, 2,373.48 and 428.07

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Solution

The fourth proportional to 1,582.32, 2,373.48 and 428.07 is: 642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.32 : 2,373.48 = 428.07 : x
  2. Step 2: Convert to fraction form
    1,582.32/2,373.48 = 428.07/x
  3. Step 3: Cross multiply
    1,582.32x = 2,373.48 × 428.07
  4. Step 4: Simplify right side
    1,582.32x = 1,016,015.58
  5. Step 5: Solve for x
    x = 1,016,015.58/1,582.32
  6. Step 6: Final answer
    x = 642.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.