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Finding the Fourth Proportional to 1,482.36, 2,223.55 and 616.67

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Solution

The fourth proportional to 1,482.36, 2,223.55 and 616.67 is: 925.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.36 : 2,223.55 = 616.67 : x
  2. Step 2: Convert to fraction form
    1,482.36/2,223.55 = 616.67/x
  3. Step 3: Cross multiply
    1,482.36x = 2,223.55 × 616.67
  4. Step 4: Simplify right side
    1,482.36x = 1,371,196.58
  5. Step 5: Solve for x
    x = 1,371,196.58/1,482.36
  6. Step 6: Final answer
    x = 925.01

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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.