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Finding the Fourth Proportional to 2,405.60, 3,319.70 and 1,357.64

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Solution

The fourth proportional to 2,405.60, 3,319.70 and 1,357.64 is: 1,873.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.60 : 3,319.70 = 1,357.64 : x
  2. Step 2: Convert to fraction form
    2,405.60/3,319.70 = 1,357.64/x
  3. Step 3: Cross multiply
    2,405.60x = 3,319.70 × 1,357.64
  4. Step 4: Simplify right side
    2,405.60x = 4,506,934.12
  5. Step 5: Solve for x
    x = 4,506,934.12/2,405.60
  6. Step 6: Final answer
    x = 1,873.52

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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.