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Finding the Fourth Proportional to 1,702.06, 2,348.43 and 1,038.67

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Solution

The fourth proportional to 1,702.06, 2,348.43 and 1,038.67 is: 1,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.06 : 2,348.43 = 1,038.67 : x
  2. Step 2: Convert to fraction form
    1,702.06/2,348.43 = 1,038.67/x
  3. Step 3: Cross multiply
    1,702.06x = 2,348.43 × 1,038.67
  4. Step 4: Simplify right side
    1,702.06x = 2,439,243.79
  5. Step 5: Solve for x
    x = 2,439,243.79/1,702.06
  6. Step 6: Final answer
    x = 1,433.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.