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Finding the Fourth Proportional to 2,595.99, 3,582.47 and 1,417.06

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Solution

The fourth proportional to 2,595.99, 3,582.47 and 1,417.06 is: 1,955.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.99 : 3,582.47 = 1,417.06 : x
  2. Step 2: Convert to fraction form
    2,595.99/3,582.47 = 1,417.06/x
  3. Step 3: Cross multiply
    2,595.99x = 3,582.47 × 1,417.06
  4. Step 4: Simplify right side
    2,595.99x = 5,076,564.21
  5. Step 5: Solve for x
    x = 5,076,564.21/2,595.99
  6. Step 6: Final answer
    x = 1,955.54

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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.