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Finding the Fourth Proportional to 2,602.13, 3,903.69 and 1,303.59

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Solution

The fourth proportional to 2,602.13, 3,903.69 and 1,303.59 is: 1,955.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.13 : 3,903.69 = 1,303.59 : x
  2. Step 2: Convert to fraction form
    2,602.13/3,903.69 = 1,303.59/x
  3. Step 3: Cross multiply
    2,602.13x = 3,903.69 × 1,303.59
  4. Step 4: Simplify right side
    2,602.13x = 5,088,830.77
  5. Step 5: Solve for x
    x = 5,088,830.77/2,602.13
  6. Step 6: Final answer
    x = 1,955.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.