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Finding the Fourth Proportional to 1,429.48, 1,973.87 and 1,009.90

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Solution

The fourth proportional to 1,429.48, 1,973.87 and 1,009.90 is: 1,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.48 : 1,973.87 = 1,009.90 : x
  2. Step 2: Convert to fraction form
    1,429.48/1,973.87 = 1,009.90/x
  3. Step 3: Cross multiply
    1,429.48x = 1,973.87 × 1,009.90
  4. Step 4: Simplify right side
    1,429.48x = 1,993,411.31
  5. Step 5: Solve for x
    x = 1,993,411.31/1,429.48
  6. Step 6: Final answer
    x = 1,394.50

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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.