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Finding the Fourth Proportional to 2,595.85, 3,582.29 and 1,416.96

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Solution

The fourth proportional to 2,595.85, 3,582.29 and 1,416.96 is: 1,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.85 : 3,582.29 = 1,416.96 : x
  2. Step 2: Convert to fraction form
    2,595.85/3,582.29 = 1,416.96/x
  3. Step 3: Cross multiply
    2,595.85x = 3,582.29 × 1,416.96
  4. Step 4: Simplify right side
    2,595.85x = 5,075,965.18
  5. Step 5: Solve for x
    x = 5,075,965.18/2,595.85
  6. Step 6: Final answer
    x = 1,955.42

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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.