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Finding the Fourth Proportional to 2,102.59, 2,900.70 and 1,356.46

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Solution

The fourth proportional to 2,102.59, 2,900.70 and 1,356.46 is: 1,871.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.59 : 2,900.70 = 1,356.46 : x
  2. Step 2: Convert to fraction form
    2,102.59/2,900.70 = 1,356.46/x
  3. Step 3: Cross multiply
    2,102.59x = 2,900.70 × 1,356.46
  4. Step 4: Simplify right side
    2,102.59x = 3,934,683.52
  5. Step 5: Solve for x
    x = 3,934,683.52/2,102.59
  6. Step 6: Final answer
    x = 1,871.35

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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.