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Finding the Fourth Proportional to 2,595.75, 3,582.14 and 1,416.92

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Solution

The fourth proportional to 2,595.75, 3,582.14 and 1,416.92 is: 1,955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.75 : 3,582.14 = 1,416.92 : x
  2. Step 2: Convert to fraction form
    2,595.75/3,582.14 = 1,416.92/x
  3. Step 3: Cross multiply
    2,595.75x = 3,582.14 × 1,416.92
  4. Step 4: Simplify right side
    2,595.75x = 5,075,580.81
  5. Step 5: Solve for x
    x = 5,075,580.81/2,595.75
  6. Step 6: Final answer
    x = 1,955.34

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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.