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Finding the Fourth Proportional to 2,702.13, 4,054.76 and 1,058.60

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Solution

The fourth proportional to 2,702.13, 4,054.76 and 1,058.60 is: 1,588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.13 : 4,054.76 = 1,058.60 : x
  2. Step 2: Convert to fraction form
    2,702.13/4,054.76 = 1,058.60/x
  3. Step 3: Cross multiply
    2,702.13x = 4,054.76 × 1,058.60
  4. Step 4: Simplify right side
    2,702.13x = 4,292,368.94
  5. Step 5: Solve for x
    x = 4,292,368.94/2,702.13
  6. Step 6: Final answer
    x = 1,588.51

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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.