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Finding the Fourth Proportional to 2,595.89, 3,582.54 and 1,477.17

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Solution

The fourth proportional to 2,595.89, 3,582.54 and 1,477.17 is: 2,038.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.89 : 3,582.54 = 1,477.17 : x
  2. Step 2: Convert to fraction form
    2,595.89/3,582.54 = 1,477.17/x
  3. Step 3: Cross multiply
    2,595.89x = 3,582.54 × 1,477.17
  4. Step 4: Simplify right side
    2,595.89x = 5,292,020.61
  5. Step 5: Solve for x
    x = 5,292,020.61/2,595.89
  6. Step 6: Final answer
    x = 2,038.61

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