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Finding the Fourth Proportional to 2,595.94, 3,582.71 and 1,477.05

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Solution

The fourth proportional to 2,595.94, 3,582.71 and 1,477.05 is: 2,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.94 : 3,582.71 = 1,477.05 : x
  2. Step 2: Convert to fraction form
    2,595.94/3,582.71 = 1,477.05/x
  3. Step 3: Cross multiply
    2,595.94x = 3,582.71 × 1,477.05
  4. Step 4: Simplify right side
    2,595.94x = 5,291,834.42
  5. Step 5: Solve for x
    x = 5,291,834.42/2,595.94
  6. Step 6: Final answer
    x = 2,038.51

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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.