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Finding the Fourth Proportional to 1,970.40, 2,715.84 and 1,596

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Solution

The fourth proportional to 1,970.40, 2,715.84 and 1,596 is: 2,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.40 : 2,715.84 = 1,596 : x
  2. Step 2: Convert to fraction form
    1,970.40/2,715.84 = 1,596/x
  3. Step 3: Cross multiply
    1,970.40x = 2,715.84 × 1,596
  4. Step 4: Simplify right side
    1,970.40x = 4,334,480.64
  5. Step 5: Solve for x
    x = 4,334,480.64/1,970.40
  6. Step 6: Final answer
    x = 2,199.80

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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.