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Finding the Fourth Proportional to 1,702.08, 2,540.70 and 1,460.16

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Solution

The fourth proportional to 1,702.08, 2,540.70 and 1,460.16 is: 2,179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.08 : 2,540.70 = 1,460.16 : x
  2. Step 2: Convert to fraction form
    1,702.08/2,540.70 = 1,460.16/x
  3. Step 3: Cross multiply
    1,702.08x = 2,540.70 × 1,460.16
  4. Step 4: Simplify right side
    1,702.08x = 3,709,828.51
  5. Step 5: Solve for x
    x = 3,709,828.51/1,702.08
  6. Step 6: Final answer
    x = 2,179.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.