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Finding the Fourth Proportional to 1,802.14, 2,702.95 and 632.03

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Solution

The fourth proportional to 1,802.14, 2,702.95 and 632.03 is: 947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.14 : 2,702.95 = 632.03 : x
  2. Step 2: Convert to fraction form
    1,802.14/2,702.95 = 632.03/x
  3. Step 3: Cross multiply
    1,802.14x = 2,702.95 × 632.03
  4. Step 4: Simplify right side
    1,802.14x = 1,708,330.39
  5. Step 5: Solve for x
    x = 1,708,330.39/1,802.14
  6. Step 6: Final answer
    x = 947.95

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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.