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Finding the Fourth Proportional to 2,595.69, 3,582.02 and 1,416.78

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Solution

The fourth proportional to 2,595.69, 3,582.02 and 1,416.78 is: 1,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.69 : 3,582.02 = 1,416.78 : x
  2. Step 2: Convert to fraction form
    2,595.69/3,582.02 = 1,416.78/x
  3. Step 3: Cross multiply
    2,595.69x = 3,582.02 × 1,416.78
  4. Step 4: Simplify right side
    2,595.69x = 5,074,937.84
  5. Step 5: Solve for x
    x = 5,074,937.84/2,595.69
  6. Step 6: Final answer
    x = 1,955.14

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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.