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Finding the Fourth Proportional to 2,152.71, 2,970.81 and 1,365.93

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Solution

The fourth proportional to 2,152.71, 2,970.81 and 1,365.93 is: 1,885.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.71 : 2,970.81 = 1,365.93 : x
  2. Step 2: Convert to fraction form
    2,152.71/2,970.81 = 1,365.93/x
  3. Step 3: Cross multiply
    2,152.71x = 2,970.81 × 1,365.93
  4. Step 4: Simplify right side
    2,152.71x = 4,057,918.50
  5. Step 5: Solve for x
    x = 4,057,918.50/2,152.71
  6. Step 6: Final answer
    x = 1,885.03

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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.