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Finding the Fourth Proportional to 2,465.60, 3,699.08 and 1,588.40

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Solution

The fourth proportional to 2,465.60, 3,699.08 and 1,588.40 is: 2,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.60 : 3,699.08 = 1,588.40 : x
  2. Step 2: Convert to fraction form
    2,465.60/3,699.08 = 1,588.40/x
  3. Step 3: Cross multiply
    2,465.60x = 3,699.08 × 1,588.40
  4. Step 4: Simplify right side
    2,465.60x = 5,875,618.67
  5. Step 5: Solve for x
    x = 5,875,618.67/2,465.60
  6. Step 6: Final answer
    x = 2,383.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.