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Finding the Fourth Proportional to 3,153.84, 4,729.50 and 1,509.18

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Solution

The fourth proportional to 3,153.84, 4,729.50 and 1,509.18 is: 2,263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.84 : 4,729.50 = 1,509.18 : x
  2. Step 2: Convert to fraction form
    3,153.84/4,729.50 = 1,509.18/x
  3. Step 3: Cross multiply
    3,153.84x = 4,729.50 × 1,509.18
  4. Step 4: Simplify right side
    3,153.84x = 7,137,666.81
  5. Step 5: Solve for x
    x = 7,137,666.81/3,153.84
  6. Step 6: Final answer
    x = 2,263.17

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1.5x scale

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.