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Finding the Fourth Proportional to 1,690.11, 2,533.28 and 702.37

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Solution

The fourth proportional to 1,690.11, 2,533.28 and 702.37 is: 1,052.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.11 : 2,533.28 = 702.37 : x
  2. Step 2: Convert to fraction form
    1,690.11/2,533.28 = 702.37/x
  3. Step 3: Cross multiply
    1,690.11x = 2,533.28 × 702.37
  4. Step 4: Simplify right side
    1,690.11x = 1,779,302.16
  5. Step 5: Solve for x
    x = 1,779,302.16/1,690.11
  6. Step 6: Final answer
    x = 1,052.77

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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.