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Finding the Fourth Proportional to 2,129.34, 2,935.80 and 1,429.50

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Solution

The fourth proportional to 2,129.34, 2,935.80 and 1,429.50 is: 1,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.34 : 2,935.80 = 1,429.50 : x
  2. Step 2: Convert to fraction form
    2,129.34/2,935.80 = 1,429.50/x
  3. Step 3: Cross multiply
    2,129.34x = 2,935.80 × 1,429.50
  4. Step 4: Simplify right side
    2,129.34x = 4,196,726.10
  5. Step 5: Solve for x
    x = 4,196,726.10/2,129.34
  6. Step 6: Final answer
    x = 1,970.90

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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.