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Finding the Fourth Proportional to 1,346.64, 1,857.72 and 953.88

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Solution

The fourth proportional to 1,346.64, 1,857.72 and 953.88 is: 1,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.64 : 1,857.72 = 953.88 : x
  2. Step 2: Convert to fraction form
    1,346.64/1,857.72 = 953.88/x
  3. Step 3: Cross multiply
    1,346.64x = 1,857.72 × 953.88
  4. Step 4: Simplify right side
    1,346.64x = 1,772,041.95
  5. Step 5: Solve for x
    x = 1,772,041.95/1,346.64
  6. Step 6: Final answer
    x = 1,315.90

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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.