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Finding the Fourth Proportional to 3,070.85, 4,602.98 and 1,588.57

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Solution

The fourth proportional to 3,070.85, 4,602.98 and 1,588.57 is: 2,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.85 : 4,602.98 = 1,588.57 : x
  2. Step 2: Convert to fraction form
    3,070.85/4,602.98 = 1,588.57/x
  3. Step 3: Cross multiply
    3,070.85x = 4,602.98 × 1,588.57
  4. Step 4: Simplify right side
    3,070.85x = 7,312,168.82
  5. Step 5: Solve for x
    x = 7,312,168.82/3,070.85
  6. Step 6: Final answer
    x = 2,381.16

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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.