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Finding the Fourth Proportional to 2,595.93, 3,582.41 and 1,416.93

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Solution

The fourth proportional to 2,595.93, 3,582.41 and 1,416.93 is: 1,955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.93 : 3,582.41 = 1,416.93 : x
  2. Step 2: Convert to fraction form
    2,595.93/3,582.41 = 1,416.93/x
  3. Step 3: Cross multiply
    2,595.93x = 3,582.41 × 1,416.93
  4. Step 4: Simplify right side
    2,595.93x = 5,076,017.12
  5. Step 5: Solve for x
    x = 5,076,017.12/2,595.93
  6. Step 6: Final answer
    x = 1,955.38

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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.