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Finding the Fourth Proportional to 2,303.64, 3,176.62 and 1,417.91

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Solution

The fourth proportional to 2,303.64, 3,176.62 and 1,417.91 is: 1,955.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.64 : 3,176.62 = 1,417.91 : x
  2. Step 2: Convert to fraction form
    2,303.64/3,176.62 = 1,417.91/x
  3. Step 3: Cross multiply
    2,303.64x = 3,176.62 × 1,417.91
  4. Step 4: Simplify right side
    2,303.64x = 4,504,141.84
  5. Step 5: Solve for x
    x = 4,504,141.84/2,303.64
  6. Step 6: Final answer
    x = 1,955.23

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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.