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Finding the Fourth Proportional to 2,386.64, 3,575.91 and 1,154.63

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Solution

The fourth proportional to 2,386.64, 3,575.91 and 1,154.63 is: 1,729.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.64 : 3,575.91 = 1,154.63 : x
  2. Step 2: Convert to fraction form
    2,386.64/3,575.91 = 1,154.63/x
  3. Step 3: Cross multiply
    2,386.64x = 3,575.91 × 1,154.63
  4. Step 4: Simplify right side
    2,386.64x = 4,128,852.96
  5. Step 5: Solve for x
    x = 4,128,852.96/2,386.64
  6. Step 6: Final answer
    x = 1,729.99

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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.