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Finding the Fourth Proportional to 1,865.63, 2,574.66 and 1,026.32

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Solution

The fourth proportional to 1,865.63, 2,574.66 and 1,026.32 is: 1,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.63 : 2,574.66 = 1,026.32 : x
  2. Step 2: Convert to fraction form
    1,865.63/2,574.66 = 1,026.32/x
  3. Step 3: Cross multiply
    1,865.63x = 2,574.66 × 1,026.32
  4. Step 4: Simplify right side
    1,865.63x = 2,642,423.77
  5. Step 5: Solve for x
    x = 2,642,423.77/1,865.63
  6. Step 6: Final answer
    x = 1,416.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.