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Finding the Fourth Proportional to 1,547.02, 2,320.53 and 377.02

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Solution

The fourth proportional to 1,547.02, 2,320.53 and 377.02 is: 565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.02 : 2,320.53 = 377.02 : x
  2. Step 2: Convert to fraction form
    1,547.02/2,320.53 = 377.02/x
  3. Step 3: Cross multiply
    1,547.02x = 2,320.53 × 377.02
  4. Step 4: Simplify right side
    1,547.02x = 874,886.22
  5. Step 5: Solve for x
    x = 874,886.22/1,547.02
  6. Step 6: Final answer
    x = 565.53

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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.