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Finding the Fourth Proportional to 2,360.64, 3,257.84 and 1,312.76

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Solution

The fourth proportional to 2,360.64, 3,257.84 and 1,312.76 is: 1,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.64 : 3,257.84 = 1,312.76 : x
  2. Step 2: Convert to fraction form
    2,360.64/3,257.84 = 1,312.76/x
  3. Step 3: Cross multiply
    2,360.64x = 3,257.84 × 1,312.76
  4. Step 4: Simplify right side
    2,360.64x = 4,276,762.04
  5. Step 5: Solve for x
    x = 4,276,762.04/2,360.64
  6. Step 6: Final answer
    x = 1,811.70

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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.