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Finding the Fourth Proportional to 2,058.60, 2,841 and 1,358.76

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Solution

The fourth proportional to 2,058.60, 2,841 and 1,358.76 is: 1,875.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.60 : 2,841 = 1,358.76 : x
  2. Step 2: Convert to fraction form
    2,058.60/2,841 = 1,358.76/x
  3. Step 3: Cross multiply
    2,058.60x = 2,841 × 1,358.76
  4. Step 4: Simplify right side
    2,058.60x = 3,860,237.16
  5. Step 5: Solve for x
    x = 3,860,237.16/2,058.60
  6. Step 6: Final answer
    x = 1,875.18

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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.