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Finding the Fourth Proportional to 2,358.71, 3,536.64 and 972.95

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Solution

The fourth proportional to 2,358.71, 3,536.64 and 972.95 is: 1,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.71 : 3,536.64 = 972.95 : x
  2. Step 2: Convert to fraction form
    2,358.71/3,536.64 = 972.95/x
  3. Step 3: Cross multiply
    2,358.71x = 3,536.64 × 972.95
  4. Step 4: Simplify right side
    2,358.71x = 3,440,973.89
  5. Step 5: Solve for x
    x = 3,440,973.89/2,358.71
  6. Step 6: Final answer
    x = 1,458.84

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Why These Related Problems?

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