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Finding the Fourth Proportional to 1,431.84, 1,970.40 and 1,390.95

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Solution

The fourth proportional to 1,431.84, 1,970.40 and 1,390.95 is: 1,914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.84 : 1,970.40 = 1,390.95 : x
  2. Step 2: Convert to fraction form
    1,431.84/1,970.40 = 1,390.95/x
  3. Step 3: Cross multiply
    1,431.84x = 1,970.40 × 1,390.95
  4. Step 4: Simplify right side
    1,431.84x = 2,740,727.88
  5. Step 5: Solve for x
    x = 2,740,727.88/1,431.84
  6. Step 6: Final answer
    x = 1,914.13

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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.