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Finding the Fourth Proportional to 1,475.70, 2,038.98 and 1,288.90

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Solution

The fourth proportional to 1,475.70, 2,038.98 and 1,288.90 is: 1,780.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.70 : 2,038.98 = 1,288.90 : x
  2. Step 2: Convert to fraction form
    1,475.70/2,038.98 = 1,288.90/x
  3. Step 3: Cross multiply
    1,475.70x = 2,038.98 × 1,288.90
  4. Step 4: Simplify right side
    1,475.70x = 2,628,041.32
  5. Step 5: Solve for x
    x = 2,628,041.32/1,475.70
  6. Step 6: Final answer
    x = 1,780.88

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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.