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Finding the Fourth Proportional to 1,559.50, 2,330.11 and 1,504.99

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Solution

The fourth proportional to 1,559.50, 2,330.11 and 1,504.99 is: 2,248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.50 : 2,330.11 = 1,504.99 : x
  2. Step 2: Convert to fraction form
    1,559.50/2,330.11 = 1,504.99/x
  3. Step 3: Cross multiply
    1,559.50x = 2,330.11 × 1,504.99
  4. Step 4: Simplify right side
    1,559.50x = 3,506,792.25
  5. Step 5: Solve for x
    x = 3,506,792.25/1,559.50
  6. Step 6: Final answer
    x = 2,248.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.