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Finding the Fourth Proportional to 1,613.08, 2,225.32 and 1,023

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Solution

The fourth proportional to 1,613.08, 2,225.32 and 1,023 is: 1,411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.08 : 2,225.32 = 1,023 : x
  2. Step 2: Convert to fraction form
    1,613.08/2,225.32 = 1,023/x
  3. Step 3: Cross multiply
    1,613.08x = 2,225.32 × 1,023
  4. Step 4: Simplify right side
    1,613.08x = 2,276,502.36
  5. Step 5: Solve for x
    x = 2,276,502.36/1,613.08
  6. Step 6: Final answer
    x = 1,411.28

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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.