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Finding the Fourth Proportional to 3,602.07, 4,970.84 and 2,030.67

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Solution

The fourth proportional to 3,602.07, 4,970.84 and 2,030.67 is: 2,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.07 : 4,970.84 = 2,030.67 : x
  2. Step 2: Convert to fraction form
    3,602.07/4,970.84 = 2,030.67/x
  3. Step 3: Cross multiply
    3,602.07x = 4,970.84 × 2,030.67
  4. Step 4: Simplify right side
    3,602.07x = 10,094,125.51
  5. Step 5: Solve for x
    x = 10,094,125.51/3,602.07
  6. Step 6: Final answer
    x = 2,802.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.