Home / 1,582.16-2,373.58-486.50

Finding the Fourth Proportional to 1,582.16, 2,373.58 and 486.50

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Solution

The fourth proportional to 1,582.16, 2,373.58 and 486.50 is: 729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.16 : 2,373.58 = 486.50 : x
  2. Step 2: Convert to fraction form
    1,582.16/2,373.58 = 486.50/x
  3. Step 3: Cross multiply
    1,582.16x = 2,373.58 × 486.50
  4. Step 4: Simplify right side
    1,582.16x = 1,154,746.67
  5. Step 5: Solve for x
    x = 1,154,746.67/1,582.16
  6. Step 6: Final answer
    x = 729.85

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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.