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Finding the Fourth Proportional to 2,595.91, 3,582.21 and 1,477.12

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Solution

The fourth proportional to 2,595.91, 3,582.21 and 1,477.12 is: 2,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.91 : 3,582.21 = 1,477.12 : x
  2. Step 2: Convert to fraction form
    2,595.91/3,582.21 = 1,477.12/x
  3. Step 3: Cross multiply
    2,595.91x = 3,582.21 × 1,477.12
  4. Step 4: Simplify right side
    2,595.91x = 5,291,354.04
  5. Step 5: Solve for x
    x = 5,291,354.04/2,595.91
  6. Step 6: Final answer
    x = 2,038.34

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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.