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Finding the Fourth Proportional to 2,102.63, 2,901.29 and 1,357.58

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Solution

The fourth proportional to 2,102.63, 2,901.29 and 1,357.58 is: 1,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.63 : 2,901.29 = 1,357.58 : x
  2. Step 2: Convert to fraction form
    2,102.63/2,901.29 = 1,357.58/x
  3. Step 3: Cross multiply
    2,102.63x = 2,901.29 × 1,357.58
  4. Step 4: Simplify right side
    2,102.63x = 3,938,733.74
  5. Step 5: Solve for x
    x = 3,938,733.74/2,102.63
  6. Step 6: Final answer
    x = 1,873.25

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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.