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Finding the Fourth Proportional to 3,033.02, 4,549.70 and 841.70

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Solution

The fourth proportional to 3,033.02, 4,549.70 and 841.70 is: 1,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.02 : 4,549.70 = 841.70 : x
  2. Step 2: Convert to fraction form
    3,033.02/4,549.70 = 841.70/x
  3. Step 3: Cross multiply
    3,033.02x = 4,549.70 × 841.70
  4. Step 4: Simplify right side
    3,033.02x = 3,829,482.49
  5. Step 5: Solve for x
    x = 3,829,482.49/3,033.02
  6. Step 6: Final answer
    x = 1,262.60

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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.